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

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

Answers

Answer:

k

Step-by-step explanation:

j

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

find the measures of 1 and 2

Answers

Answer:

1 ) ∠1 = 105    ∠2 = 75

2) ∠1 = 50     ∠2 = 50

Step-by-step explanation:

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

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

Answers

Answer:

The first one is 0.63

Step-by-step explanation:

3.79 ÷ 6 is 0.63

The second one is correct

Answer:

the first one is wrong the second one is right

Step-by-step explanation:

the first one is - 0.63166666666 or 0.63

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


Which calculation will give the total surface area of the cardboard, in square inches, that was used to make the box? (1 point)

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:

Assuming the box is a cube, the surface area would be 6 times one side's area (since in a cube each side is a square) or A=6s^2 where s is a side length of the cube. This means that the surface area is 6*3*3=6*9=54 in^2

Find the missing side of the right triangle.

Answers

It should be 10 or 15 maybe

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

Convert the equation below to slope intercept form 2x+y=3
pls help ASAP

Answers

9514 1404 393

Answer:

  (b)  y = -2x +3

Step-by-step explanation:

Subtract the 2x term to get y by itself on the left.

  2x -2x +y = 3 -2x

  y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b

HURRY PLEASE I NEED HELP

Answers

Step-by-step explanation:

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

What is the surface area??

Answers

Answer:

120+96+rhom do the rest

Step-by-step explanation:

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

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!

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
student is selected for a field trip at random.
A) Find the probability of selecting a boy
B) Find the probability of selecting a girl|

Answers

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

Step-by-step explanation: if there are 25 students total and there are 15 boys that means the rest are girls so 25-15 is 10 girls. So the ratio for selecting a boy would be 15:25 or 15/25 and the ratio for selecting a girl would be 10:25 or 10/25

Hiiiiiiiiiiiiiiiiiiii take your best guess

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

this is just areas ykyk

Answers

Answer: 108 sq units

Step-by-step explanation:

Multiply

WILL AMRK BRAINLIEST IF GOTEN CORRECT

Answers

Answer: if im not mistaken its D

Step-by-step explanation:

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

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

n is less than or equal to 13

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.

An architect's model for a building is 1.4 m long and 0.8 m wide. The actual building is 240 m wide. What is the length of the building

Answers

Answer:

214.285714286 m

Step-by-step explanation:

240/1.4

240/1.4/0.8

Answer:

Step-by-step explanation: I think its 298.25 i'm not sure wait for other people to give you answers

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

ANSWER QUICK!!

Which of the following is an example of the ASCEND?

A. a bird landing on the ground
B. a hiker climbing a mountain
C. a car traveling through a tunnel
D. a submarine lowering below the surface

Answers

Answer:

answer is B

Step-by-step explanation:

he goes up

B
Ascend means to go upward and when the hiker climbs a mountain he is climbing upwards

Pls help me number 8 plsssss

Answers

Answer:

y=mx+b

m=2/3, b=-2

your answer is B. y=2/3x-2

Step-by-step explanation:

Hope this helps :)

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

Can someone tell me which equation this is
1. f(x)= 1/4x +4
2. y=1/2x +4
3. f(x)=-2/3 +4

Answers

Answer:

#3

Step-by-step explanation:

The line follows an inverted slope format, indicated by -2/3. Or down 2, and 3 to the right after going up by 4, creating the line. The other equations would flip the line horizontally because of a positive slope.

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!

what is this pls and i will give you a brainliest

Answers

Answer:

the picture is blurry repost it

$17divided by 20% rounded to the nearest dollar

Answers

Answer:

$13.60??????

Step-by-step explanation:

$17 divided by 20% = $85 rounded by the nearest dollar is 90 ??????

I GOT THE POWER IF GOD AND ANIME ON MY SIDE

i dont know for sure if the answer is right sorry

math is not on my side

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