the figure below shows a 60 foot pole held in place by wires anchored at point B, 40 feet from the base of the pole.

The Figure Below Shows A 60 Foot Pole Held In Place By Wires Anchored At Point B, 40 Feet From The Base

Answers

Answer 1

Answer: A: 21.4

Step-by-step explanation:

Answer 2

For the figure, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the adjacent side is equal to the tangent angle between them.

[tex]\thn \theta=\dfrac{b}{a}[/tex]

Here, (a) is the adjacent side, (b) is the opposite side and [tex]\theta[/tex] is the angle made between them.

The height of the pole is 60 foot. Therefore,

[tex]AC=60\rm ft[/tex]

The distance of the wire from the base of the pole is 40 feet. Therefore,

[tex]BC=40\rm ft[/tex]

Therefore, the tangent angle can be given as,

[tex]\tan\angle(ABC)=\dfrac{60}{40}\\\angle(ABC)=\tan^{-1}(1.5)\\\angle(ABC)=56.31^o[/tex]

The angle DBC is half of the angle ABC. Thus,

[tex]\angle(DBC)=\dfrac{56.31}{2}\\\angle(DBC)=28.15^o[/tex]

Now, again in the triangle DBC, the tangent angle can be given as,

[tex]\tan(28.15)=\dfrac{DC}{40}\\DC=21.407\rm ft[/tex]

Hence, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996


Related Questions

A spinner is broken into section labeled 1 to 38. What is the probability that.On your next spin, that you will spin a 1?

Answers

Answer:

1/38

Step-by-step explanation:

Given :

Probability = required outcome / Total possible outcomes

Total possible outcomes = total Numbe rod sections = 38

Required outcome = number of 1's on the entire section = 1

Hence, the probability of spinning a one equals :

P(spinning a 1) = 1 / 38

You have a balance of $4,600 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40.
You miss a payment. What are your fees plus interest for the month?

Answers

Answer:

$86

Step-by-step explanation:

first you gotta find the interest

4,600 * 1% = 46

so the interest is $46

then you add the interest and late fees together to get the payment for the month

46 + 40 = $86

your total cost is $86

The fess plus interest of the month will be $86 after missing a payment.

Given:

Balance  = $4600

Interest rate = 0.01

Step 1: Calculate the interest for the month.

Interest for the month = Balance × Monthly Interest Rate

Substituting the value back to the formula

Interest for the month= $4,600 × 0.01

                                      = $46

Step 2: Add the late payment fee.

Late payment fee = $40

Step 3: Total fees plus interest for the month.

Total = Interest for the month + Late payment fee

Total = $46 + $40

Total = $86

So, fees plus interest for the month when you miss a payment amount to $86.

Learn more about interest here:

https://brainly.com/question/28272078

#SPJ6

can u pls help me with this question asap ​

Answers

Answer:

a.

Step-by-step explanation:

Write a quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2

Please I really need your help for this ​

Answers

ax² + bx + c = 0

Let's write -9 where we see A:

-9x² + bx + c = 0

Let's write 0 where we see B:

-9x² + 0.x + c = 0

(Since B = 0, when it is multiplied by x, it becomes 0 again)

-9x² + c = 0

Let's write -2 where we see C:

-9x² + -2 = 0

Now we can move on to solving our equation:)

Let's put the known and the unknown on different sides:

(-2 goes to the opposite side positively)

-9x² = 2

(it goes as a division because it is in the case of multiplying -9 across)

x² = 2/-9

I could not find the rest of it, but I did not want to delete it for trying very hard. Sorry. It felt like we should take the square root, but I couldn't find it, maybe this can help you a little bit.

Please do not report:(

I hope I got it right, I'm trying to improve my English a little :)

Greetings from Turkey:)

#XBadeX

The quadratic equation ax²+ bx + C = 0, whose coefficients are a = -9, b = 0, c = -2 will be -9x² + -2 = 0

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,coefficients fore the equation,ax²+ bx + C = 0, is a =-9, b = 0, c = -2

We have to write a quadratic equation as,

Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

ax² + bx + c = 0

-9x² + 0x + (-2) = 0

-9x² + -2 = 0

-9x² + -2 = 0

Thus, the quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2 will be -9x² + -2 = 0

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ6

What is decimal of 78

Answers

0.78 would be decimal form for 78%

The original price of an
SUV is $42,000. The
tax on the vehicle is
3%. What is the amount
of tax that needs to be
paid?

Answers

Answer:

$1260

Step-by-step explanation:

If tax is 3% just multiply 0.3 by 42000 to get 1260

42000*0.3=1260

the tax is 1260 same answer from the person above me

A long-distance delivery truck averages 8 miles per gallon when the truck is full. The
miles per gallon improves by 20% when the truck is empty. If the truck travels 160 miles
full to deliver its goods, and then travels back 160 miles empty, approximately how many
gallons will the truck use in all?

Answers

8 mpg when full
8*1.2=9.6mpg when empty
160/8+160/9.6=36.67

The gas used by truck is 36.66 mpg.

What is linear equation?

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

A long-distance delivery truck averages 8 miles per gallon when the truck is full.

The miles per gallon improve by 20% when the truck is empty.

The distance delivery truck averages 8 miles per gallon when full, and the amount of gasoline used (g) is expressed in terms of the number of miles driven ([tex]m_{f}[/tex]).

When the truck is full, the amount of gasoline is shown as,

[tex]m_{f}[/tex] = d/8

given distance is 160 miles

[tex]m_{f}[/tex] = 160/8  = 20 mpg

Then,

The miles per gallon improve by 20% when the truck is empty.

The number of miles driven when empty is represented as,

[tex]m_{e}[/tex] = d/(8 + 1.6)

[tex]m_{e}[/tex]  = d/9.6

[tex]m_{e}[/tex] = 160/9.6

[tex]m_{e}[/tex]  = 16.66 mpg

total gasoline  required = [tex]m_{e}[/tex] +  [tex]m_{f}[/tex]  = 20 + 16.66 = 36.66 mpg

Hence the total  gas used is 36.66 mpg.

Learn more about linear equation;

https://brainly.com/question/29739212

#SPJ2

A bag of apples weighs 8 4 10 pounds. A crate of bananas is 5 times as heavy as the apples. How much heavier are the bananas than the apples?

Answers

Answer: 33640 pounds
Explanation: 8410 times 5 is 42050, - 8410 = 33640

Which algebraic expression is equivalent to the expression below?
9(2x + 2)

A.
18x + 2

В.
9x + 4

C.
36x

D.
18x + 18

btw I will mark brainliest!

Answers

Answer:

I guess the answer is D - 18x + 18

find angle sqr and pqr

Answers

Answer:

The answer is number C

Step-by-step explanation:

[tex](2x + 6) + (10x - 5) = 61 \\ 12x + 1 = 61 \\ 12x = 60 \\ x = 5 \\ then \\ m < sqr = 2 \times 5 + 6 = 16 \\ m < pqr = 10 \times 5 - 5 = 45[/tex]

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

need help cuz i don't know what in doingggg

Answers

i think the answer is 24 because
It would be 27/-10+7 = 24
I’d say the answer is 24, don’t take me for my word tho

If anyone could help me with this question that would be great

Answers

Answer:

5/3

Step-by-step explanation:

image/pre-image

15/9 simplified is equal to 5/3 which is the scale factor

Someone plz help me plz

Answers

Answer: 26 46

Step-by-step explanation:

Answer:

26, 46, 23......

Step-by-step explanation:

Each number is divided by 2 then added by 20.

Hope this Helps!

Brianna has 6 bags of soil. Filling one flowerpot requires 1/3 of a bag of soil. How many flowerpots can be filled with these 6 bags?
A.1/2
B.2
C.18
D.24
Help I suck at math 0-0

Answers

Answer:

C. 18

Step-by-step explanation:

Inverse of 1/3 = 3

3 x 6 = 18

18 flowerpots can be filled with these 6 bags.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Brianna has 6 bags of soil.

Filling one flowerpot requires 1/3 of a bag of soil.

So, the number of flowerpots filled using 6 bags

=  6 / (1/3)

= 6 x 3

= 18 pots

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ5

If you are being paid $55 for a days work which is an 8 hour shift how much would you get paid if you only worked 6 hours?

Answers

Answer:

You would get paid $41.25 if you only worked 6 hours.

Step-by-step explanation:

In order to find the answer, first you have to find the amount you are paid per hour by dividing the amount paid per day by 8 hours:

$55/8=$6.875

Then, you have to multiply the amount per hour for 6 to determine the amount you would get paid if you only worked 6 hours:

$6.875*6=$41.25

According to this, the answer is that you would get paid $41.25 if you only worked 6 hours.

The table shows the cost y (in dollars) of renting x movies

Someone please awnser this

Answers

D: is 9. and you would graph it at 2,9

help I really need to do this​

Answers

I'm so sorry if this is wrong but it might be 24.

When you square the square root of a number...

Answers

Answer:

the square root of a number is when you take a mole number and multiply it by itself in order to create a bigger number therefore some square roots would be 5 times 5 equals 25 therefore 5 is the square root of 25 so on and so forth

What is the measure of angle B?

A. 75
B. 60
C. 30
D. 38

Answers

Step-by-step explanation:

a = 180-117 = 63

180- (81+63) = 36

A pancake recipe calls for 7 eggs and 35 cups of flour. How many cups of flour would you need for a single egg?

Answers

Answer:

Imao 5

Step-by-step explanation:

just divide

Answer:

5 cups.

Step-by-step explanation:

The egg to flour ratio is 7:35

If you narrow it down, it is 1:5

You have to divide it.

3/4x+5=17.. solve for X.. help?

Answers

Answer:

x = 16

Step-by-step explanation:

If we subtract by 5 on both sides we get that 3/4x = 12, and if we then multiply by 4/3 on both sides we get that x = 12 * 4/3, which means that x = 16.

Answer:

0.0625

Step-by-step explanation:

The winner of a basketball contest is the individual who scores the highest percentage of free throws. The too three finishers are contestants A, B, and C. Contestant A made 85% of her free throws, contestant B made 0.88 of his free throws, and contestant C made 21/25 of his free throws. Graph in inequality that represents the possible percentages (in decimal form) of free throws made by the other contestants in the competition. (Assume there are no ties.)

Answers

Answer:

Step-by-step explanation:

Less than 0.84

Step-by-step explanation:

   Convert all numbers to decimals

   85% --> 0.85

   0.88 --> 0.88

   21/25 --> 0.84

Since these are the top three, the rest of the competitors are less than 0.84.

what are the prime numbers for 17

Answers

Answer:

17 is prime

Step-by-step explanation:

someone please help me with this problem

Answers

Answer:

x=45

y=135

z=45

1. Find the next three in the sequence. 2,7,12,17

2. find the formula for the nth term.​

Please show the working

Answers

Answer:

the next three terms are 2,7,12,17,22,27,32

have a nice day

Answer:

n + 5

Step-by-step explanation:

n+5

2,7,12,17,22,27,32

evaluate the expression3+(a+4)(8-b) when a = 5 and b = 6

Answers

Answer:

21

Step-by-step explanation:

3+(a+4)(8-b)

3+(5+4)(8-6)

3+(9)(2)

3+18

21

A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?

Answers

Answer:

A. 2a+6

Step-by-step explanation:

I did the test and this is what I got.


Find the volume of the figure. Round to the
nearest tenth.
1,286.1 units
401.9 units
5,144.6 units
128.6 units

Answers

Answer:

1,286.1 units is the answer

Step-by-step explanation:

your answer may vary depending on what you use for pie, using a calculator with pie on it gave me approx. 1286.79635

volume formula: V=πr^2h

so π*6.4^2*h

π*40.96*10

3.14*409.6

1,286.144

round

1,286.1

6x + 2(7x – 4) = 92 I T​

Answers

Answer:

x = 5

Step-by-step explanation:

6x + 2(7x – 4) = 92

simplify:

6x + 14x - 8 = 92

20x = 100

x = 5

Answer:

6x+2(7x−4)=92

Step 1: Simplify both sides of the equation.

6x+2(7x−4)=92

6x+(2)(7x)+(2)(−4)=92(Distribute)

6x+14x+−8=92

(6x+14x)+(−8)=92(Combine Like Terms)

20x+−8=92

20x−8=92

Step 2: Add 8 to both sides.

20x−8+8=92+8

20x=100

Step 3: Divide both sides by 20.

100

20

x=5

Steven warms a cup of a coffee to a temperature of 195°F and then leaves it to cool in a room that is 75°F. This equation represents the
temperature, T, of the coffee in the cup after x minutes.
T = 75 + 120e-0.051
After how many minutes will the temperature of the coffee be approximately 141°F?

Answers

Answer:

12 minutes

Step-by-step explanation:

First substitute 141°F for T in the given equation.

Then isolate the exponential term.

Now rewrite the equation as a natural log, and solve for x.

After 12 minutes will the temperature of the coffee be approximately 141°F.

What is temperature?

Temperature is the degree of hotness or coldness expressed in terms of any of numerous scales, such as Fahrenheit and Celsius. Temperature suggests the route wherein heat strength will spontaneously flow—i.e., from a warmer body (one at a better temperature) to a less warm frame (one at a lower temperature).

diploma measures of temperature are typically expressed with the ° temperature scale: The sample became heated to 80 °C.

Substitute the 141°F in the equation

     ⇒T = 75 + 120e-0.051

     ⇒ 141 = 75 + 120x - 0.051

     ⇒ 120x = 141 -75 + 0.051

     ⇒120x = 66.051

   

Learn more about temperature here:-https://brainly.com/question/24746268

#SPJ2

Other Questions
The measure of one angle is 130. Which statement is true regarding the 130 angle and angle 3? What is the inverse function (equation) of f(x) = 6x - 5 ? I don't know how to answer this 1 more pls helppppppp The difference of x and y is 14. The value of x is 3 more than twice the value of y. Write two equations and graph to find the value of x. Open Ended Alexandra is working on a float for a parade She is making a sphere out of paper mache She knows the circumference of a cross section through the center of a sphere. How can Alexandra find the radius of the sphere? ill mark brainlist plss he,p y4530N17I need help pls Need help fast!!!!!!! What are theinvisible linesrevealed by theIron fillingssurrounding amagnet called? what is hyperconjugation ? how does it differ from resonance effect see the photo and answar. GEOMETRY. Need help i will give brainliest please help me i will mark you brainliestttttttttttttttt Which of these processes does NOT occur as part of the cell cycle in animal cells? What is a foreign body? Plzz help in this question. The original scale factor for a scale drawing of a house plan is 1/80, and the length of the original scale drawing is 12 inches. What is the length of the actual house if the scale factor is 1/80? PLEASE HELP! Find the gravitational force between Venus (4.87 x 1024 kg) andthe sun (1.989 x 100 kg). Venus orbits at a distance of1.082 x 10" m. Miguel wrote the equation 450 h = 4,095, where h is the number of hours it took a jet flying at aconstant speed of 450 miles per hour to travel 4,095 miles. Solve for h.h= hour(s) Paxton has completed 2/3 of the math questions on his homework. If Paxton has completed 8 math problems so far, write and solve an equation to find, n, the total number of problems on his homework. (Please show work!)