Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart on a level surface and measuring the angle of elevation to the balloon. From
Albert, the balloon was at an angle of elevation of 62°and from Issac its was 48º. Determine the height of
the balloon above the ground to the nearest foot.

Answers

Answer 1

Answer:

144 feet to nearest foot.

Step-by-step explanation:

Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet

So we have 2 right angled triangles and:

tan 62 = h/x

tan 48 = h / (400- x)         where h is the height of the balloon.

From the first equation x = h / tan 62 so plugging this into the second one:

tan 48 =  h /  ( 400 - h/tan 62)

h = 400 tan 48 - h tan 48 tan 62

h + h tan 48 tan 62 = 400 tan 48

h ( 1 + tan48 tan62) = 400 tan48

h = 400 tan 48 / (1 +  tan 48 tan 62)

= 143.8 feet.


Related Questions

HELP ASAP WILL GIVE BRAINLIEST!! Write the equation in point-slope form for the line that contains the points
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Using y=mx+b

Slope-intercept form:

y=x-1

Point-slope form:

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Step-by-step explanation:

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Step-by-step explanation:

Quadrilateral GHIJ has coordinates G(5, 1), H(4, -3), I(6, -1), and J(2, 1). If the quadrilateral is reflected over the line y = -x, what are the coordinates of G'?​

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Where is the diagram

Step-by-step explanation:

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Answer:

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Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

Adjacent angles. x = 55

Step-by-step explanation:

Adjacent angles are angles that are right next to each other, sharing one side.

Since that is a right angle (90º):

X + 35 = 90

X + (35-35) = 90 - 35

X = 55

Hope this helps! Have a great day!

Answer:

Adjacent, X= 55

Step-by-step explanation:

90-35= 55

Pls help

The circle below has a diameter of 164 inches.

a) Find the circumference of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).

b) Find the area of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).

Answers

Answer:

The circle is the radius divided by equal, so it is the same as the other section meaning 16 as well

Step-by-step explanation:

Add the two ends to the result 32

Answer:

Step-by-step explanation:

yea what she said

A train travels 1 kilometre in 1 minute 20 seconds. Picture of steam train Question prompt At this rate, how many kilometres will the train travel in 1 hour?

Answers

Answer:

45km

Step-by-step explanation:

Distance covered in 1min 20sec (80sec) = 1km

Distance covered in 1 min (60sec) = 1km/80sec

Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.

What is the slope of y=-4​

Answers

Answer:

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Step-by-step explanation:

Any equation that is y = a number, you have a horizontal line, with a zero slope, think of HOY, H(orizontal) O=zero Y=#

True or False? The midpoint of a segment
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Answers

Answer:

false

hope it helps

the line that bisect the segment is not always perpendicular

Answer:

True ig

Step-by-step explanation:

The name given to the point at which the perpendicular bisector interesects a segment is called the  '  midpoint of a segment "  

I hope im right!!

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Answers

Answer:

abcdefg!!!

Step-by-step explanation:

What would you multiply by to decrease a number by 8%

Answers

Answer:

0.92

Step-by-step explanation:

take the 8 away from 100 = 92

then divide the 92 by 100

then you have your answer 0.92

The answer is 0.92 hope that helps

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Answers

The area is aprox 24.6

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Answers

Answer:

The length of the bold arc is approximately 13.4 mi

Step-by-step explanation:

The radius of the circle having the arc, r = 17 mi

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C = 2·π·r

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i’m stuck on these ones too

Answers

Answer:

7.D) 107°

8. A) 123°

Step-by-step explanation:

To find the correct measurement of the angel the sum of the interior angels needs to equal 360°. Angels where the lines intersect with the circle would be both 90°. ( If that makes sense.)

90°+90°=180

180°+73°= 253°

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90°+90°=180°

180°+57°=237°

360°-237°=123°

25 Points!!. $1.60 for 8 oz, (cheese)
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Answers

The unit price is $0.20 per ounce or $3.20 per pound.

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Answers

Answer:

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Step-by-step explanation:

Sorry if I get it wrong

aundreys mother has decided to start a college savings account for him. aundrey is about to start kindergarten, and she decides to deposit $1000 in to an account with a 1.3% annual interest rate. How much will be in the account when aundrey starts 4th grade (4 years later) if she makes no deposits or withdrawals and the interest is compounded annually?

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Answers

Answer:

C

Step-by-step explanation:

1.3% of 1000 is 13, 13 X 4 ≈ 53

here are 4 red cards and 8 black cards in a bag. How likely is it that you will randomly draw a blue card?

a
Impossible
b
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c
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e
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Answers

Answer:

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Step-by-step explanation:

Hope this helps (:

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Answers

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Step-by-step explanation:

Answer:

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Never
Sometimes
Always

Answers

Answer:

never

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

What is the slope of the line described by the data in the table below?
Х
-4
0
4
8
y
3
8
13
18

Answers

Given:

The table of values is:

x      y

-4     3

0     8

4     13

8     18

To find:

The slope of the line that described by the data in the table.

Solution:

Consider any two points from the given table.

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Answers

Answer:

Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020

Step-by-step explanation:

Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020

Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020

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Answers

Answer:

thank you so much

Step-by-step explanation:

have a great day

Answer:

hehehehehehehehehehehehehehehehe

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Answers

Answer:

41/2

Step-by-step explanation:

2x - 2(9) = 23

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    +18   +18

2x = 41

/2    /2

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Answers

Answer:

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Step-by-step explanation:

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??

Answers

x + 9 is your answer!



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Help me, not sure how to solve this, my teacher didn't teach us yet, and I want a solid understanding of it, so the answer will be great! Also will give the most brainliest!

Answers

x = 15°--------------------------

Step-by-step explanation:

10 + 5x = 10 + 5(15)

= 10 + 75

= 85°

4x - 10 = 4(15) - 10

= 60 - 10

= 50°

6x - 5 = 6(15) - 5

= 90 - 5

= 85°

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