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

a gear turns 9 times in 1.5 minutes. in how many minutes will it turn 240 times

Answers

The answer to your question is 120

If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over? Use π = 3.14, and round your answer to the nearest hundredth

Answers

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

Please help me this is my final!!!

Answers

Answer:

A

Step-by-step explanation:

I fricked up last time, it's a

if you need me to explain then ask

Answer: hello

your answer is A.) 2700

Step-by-step explanation:

I hope it helps

have a nice day

quadritlet ABCD is rotataed at 90 about the orgin what are the coordinates of quadriltel A'B'C'D' A 5,5 B 5,1 C 2,1 D 1,5

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Answer:

k

Step-by-step explanation:

j

what is the probability of rolling a standard die twice and getting an even number, then 5?

Answers

Answer: 22.222% or .2222

Step-by-step explanation:

There are 6 sides on a standard die. Two of the numbers (1&4) are perfect squares so the chances of getting a perfect square on the first roll is 2/6. There are 4 numbers less than 5 (1,2,3,4). The chances of rolling a number less than 5 on the second roll is 4/6. The probability of two events is equal to the product of those events or in this case 2/6 x 4/6 which is 8/36. Which reduces to 2/9. That’s 22.222% or .2222

What is the surface area??

Answers

Answer:

120+96+rhom do the rest

Step-by-step explanation:

HURRY PLEASE I NEED HELP

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Step-by-step explanation:

as I guess it's a link question between some others so can you show us whole quetsion of it

At the table below, which equation could be used to show the relationship between x and y?

Answers

Answer:

You can find the anwer by count every 1/2

Step-by-step explanation:

1 =1/4

2=1/2

3=3/4

4=1

5=5/4

just count the right way to get the answer

PLEASE HELP!!!!This table shows the temperature change in these
places from 1960 to 2014.
Enter the missing values.

Answers

Answer:

50/52/2

85/87/(2)

-6/-3/(3)

(-13)/12/1

Answer:

answer below

Step-by-step explanation:

Antarctica ( average temperature in 1960 Fahrenheit) = -11

Khartoum, Sudan ( change from 1960 to 2014 Fahrenheit) = 2

Greenland ( change from 1960 to 2014 Fahrenheit) = 3

what is this pls and i will give you a brainliest

Answers

Answer:

the picture is blurry repost it

WILL AMRK BRAINLIEST IF GOTEN CORRECT

Answers

Answer: if im not mistaken its D

Step-by-step explanation:

Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

Answers

Answer:

The equation of the line is;

y = -2x + 2

Step-by-step explanation:

Here, we want to write the equation of the line that passes through the given points

The general form of the equation is

y = mx + b

where m is the slope of the line and b is the y-intercept of the line

Mathematically, to get the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

(x1,y1) = (-2,6)

(x2,y2) = (3,-4)

m = (-4-6)/(3+2) = -10/5 = -2

So the equation is in the form;

y = -2x + b

To get b, we substitute any of the two points

6 = -2(-2) + b

6 = 4 + b

b = 6-4 = 2

The equation of the line is thus;

y = -2x + 2

Find the missing side of the right triangle.

Answers

It should be 10 or 15 maybe

find the measures of 1 and 2

Answers

Answer:

1 ) ∠1 = 105    ∠2 = 75

2) ∠1 = 50     ∠2 = 50

Step-by-step explanation:

GIVING BRAINLIEST! What is the slope of the negative graph?


Answers

Answer:
-3/2 is the slope of the negative graph
Hoped this helped have an amazing day!

A piece of fabric shaped as a trapezoid has a
height of 14 inches, and bases that measure
16 inches and 9 inches. What is the area of
the fabric?​

Answers

Answer:

Area of the fabric = 175 square inches

Step-by-step explanation:

Area of a trapezoid = (b1 + b2)/2 * h

Where,

b1 = 16 inches

b2 = 9 inches

h = 14 inches

Area of a trapezoid = (b1 + b2)/2 * h

= (16 + 9)/2 * 14

= 25/2 * 14

= 12.5 * 14

= 175 square inches

Area of the fabric = 175 square inches

A triangle where one angle measures 20° and another angle measures 45°.Help please

Answers

Answer: 115 degrees

Step-by-step explanation:

Pretty vague question but with the info given im guessing that your looking for the last angle in the triangle which is 115 since all angles in a triangle must add up to 180

Use kite WXYZ to find m<YZQ​

Answers

90°

Hope this helps

1). There are 25 students in grade 7. 15 are boys and others are girls. A
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B) Find the probability of selecting a girl|

Answers

Answer: 1) 15:25 or 15/25 2) 10:25 or 10/25

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Hiiiiiiiiiiiiiiiiiiii take your best guess

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Answers

Answer:

n ≤ 13

Step-by-step explanation:

≤ is a symbol used to show less than or equal to. Since n is less than or equal to 13, you will put it like n ≤ 13.

Hopes this helps:

Answer:

Let x be the number. If x is no less than 13, the x can be greater than 13 or equal to 13. Combine these two conditions and get x >13.

Is this correct? At this time of the day my brain starts dying lol.

Answers

Answer:

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Step-by-step explanation:

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The second one is correct

Answer:

the first one is wrong the second one is right

Step-by-step explanation:

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PLZ HELP ILL MARK BRAINLIEST!!!!!!!!!!

Answers

Answer:

it would be number two.

Step-by-step explanation:

It's basically just asking which angles are similar. look at the angels and if you use a protractor you can do exact measurements. It looks complex but its not just go step by step, stay calm. Glad to help!

Joshua unfolded a cardboard box. The figure of the unfolded box is shown below:


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Question 14 options:

1)

6 × 3 × 3

2)

3 × 6 × 6

3)

9 × 6 × 6

4)

6 × 9 × 9

Answers

Answer:

1) 6 * 3 * 3

Step-by-step explanation:

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Can someone tell me which equation this is
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Answers

Answer:

#3

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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ANSWER QUICK!!

Which of the following is an example of the ASCEND?

A. a bird landing on the ground
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D. a submarine lowering below the surface

Answers

Answer:

answer is B

Step-by-step explanation:

he goes up

B
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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

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