Mathematics High School

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

Which expression is equivalent to 12x + 20y?

Answers

15x+20y+5z I’m pretty sure

Giving brainlest and 20 points
What is the surface area of the solid?


A.
46 square inches

B.
15 square inches

C.
40 square inches

D.
23 square inches

Answers

Answer:

C. 40 square inches but i could be wrong

albert announces to his mother, he is hungry and asks what is there to eat? she responds, go look in the refrigerator. which factor has the greatest influence on albert's food choice?​

Answers

Answer:

Availability

Step-by-step explanation:

A student is solving the equation
4
(
x
−
5
)
=
−
6
x
−
7
+
2
. Which describes a first step the student could use to solve the equation correctly?

Answers

first option.

you should usually distribute first. 4 times x would be 4x, and 4 times -5 is -20.

Answer:

4(x−5)=−6x−7+2

first step open bracket and add or subtract no.

4x-20=-6x-5

put common in each side

4x+6x=-5+20

10x=15

x=15/10=3/2

first one is your answer

a caterer charges a flat delivery fee and cost per sandwich ordered.the expression 5-+4.75x represent the equation.

Answers

Answer:

of a slope on a graph? if so I have the solution

Step-by-step explanation:

Pls help. I don't understand.

Answers

Answer:

112

Step-by-step explanation:

I took the same test

Answer:

area of trapezium = a+b ×h (a+b = base +base )

2

38+18÷2×16

37×16

=592cm

A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount? 0.30p 0.70p 1.30p 30p​

Answers

Answer:

0.30p

Step-by-step explanation:

(px30)/100=0.3p

Answer:

0.70 p

Step-by-step explanation:

If the item is 30% off, the new price is 0.7p because we want to know how much 70% of the original price was.

Is this line an accurate line estimate of
best fit for the data?
Yes
No

Answers

Answer:

no.........................

what is the y intercept of 2y - 2x = 8

Answers

Answer:

Step-by-step explanation:

Write in y = mx + b form

here, b ----> y intercept

2y - 2x = 8

     2y = 2x + 8         {Divide the equation by 2}

       [tex]\frac{2y}{2}=\frac{2x}{2}+\frac{8}{2}\\[/tex]

        y = x + 4

y-intercept = 4

AAAAAAAAAAAAAAAAA HELP

Answers

SAME CAN SOMEONE ANSWER IT ASAP WILL MEAN ALOTTTTT

I'm confused. Can someone help and also lmk how to work it out? :)

Answers

Answer:

£5

Step-by-step explanation:

5 boxes will cose 5 x 15.40 = 77 normally.

according to the table, he will get 6.5% discount.

6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5

Answer:

he orders 5 boxes of paperclips, that comes around to 77 dollars. That means he will get a 6.5 percent discount. So you would multiply 77 by .065 and you would get 5.005. You would take that number and subtract it by 77 and would get 71.995 and you can round that up to 72 dollars. My guess is that either 72 or 5.005 is the answer as 72 dollars is the price after the discount and 5.005 is how much he is saving

Step-by-step explanation:

Plzzzz brainlest I swear

Answers

Answer: 8

Step-by-step explanation: on the left chain, there are 5 4’s, so 4 times 5 is 20 Because you know that, subtract it from 60 to only have the W’s values. So 60-20 is 40 and because there is 5 w’s do 40/5 is 8. Therefore, the value of the w’s is 8 and the value of the 4’s is 20

Answer:

1024.

Step-by-step explanation:

4x4x4x4x4= 1024

I hope this is correct and I hope this helps. My apologies if it´s wrong.

2^2 x 3^4 x 2^5/ 9 x 4^2

Answers

Answer:

Please refer to the attachment

Hope it helps

Please mark me as the brainliest

Thank you

2. R(1, 1), 5(1,7), Т(5,7), U(5, 1); k =
45
у
о
Help

Answers

(5,7) because when you divide that’s the answer you get

if socks cost $8.97 for 3 pairs how much does one pair cost?

Answers

Answer:

7

Step-by-step explanation:

Answer:

$2.99

Step-by-step explanation:

$8.97/3 = 2.99

$8.97 divided by 3 equals $2.99

Good Luck!

Find the volume of the composite solid. Round your
answer to the nearest tenth.
8 cm
8 cm
8 cm
14
The volume is about
cubic centimeters.

Answers

Answer:

this image is unclear i cant answewr this

Step-by-step explanation:

PLEASE HELP!!!! ANSWER FAST

Answers

Step-by-step explanation:

[tex] {d}^{2} = {5}^{2} + {5}^{2} \\ {d}^{2} = 50 \\ d = 5 \sqrt{2} \\ [/tex]

[tex] \tan(60) = \frac{4}{c} \\ c = \frac{4}{ \tan(60) } = 2.3[/tex]

Find x of the angles are supplementary 3x-2 and 41 degrees ?

Answers

Answer:

x = 47

Step-by-step explanation:

3x - 2 + 41 = 180 {Supplementary}

3x   + 39 =  180

        3x   = 180 - 39

       3x  = 141

          x = 141/3

x = 47

Find the range of each function for the given domain-

Answers

Answer:

42

90

Step-by-step explanation:

ieieieeieeirieiejejejjdjdjdfhdhrhrhrurur

DUE IN 5 MINUTES HELP

Answers

Answer:

If its asking to translate by (-5,3) then the answer is the following.

A'(-2, 3)

B'(-1, 1)

C'(-4, 0)

(04.05)
Which of the following is true about a function that is constant? (4 points)

HELP PLEASE

Answers

Answer:

A. it is a horizontal line

Step-by-step explanation:

Use your scratch paper to draw a coordinate plane and plot the following data set: (4,3), (1,2), (9.1), (10,2), (9,10), (1,7),(5,0), and (6,1),
What type of association exists between the data points?

Answers

Answer:

3,)ft

Step-by-step explanationpads: 1 7(.9t

Danny has at least $15 more than his big brother. Danny's brother has 72. How much money does Danny have?

Answers

Answer:

at least 87

[tex] \geqslant 87[/tex]

Step-by-step explanation:

danny has at least $15 more than his brother and his brother has $72 that means Danny has at least 15 + 72(his brothers money) it can be 87 or more than 87

Danny's money is

[tex] \geqslant 87[/tex]

Find the value of that makes DEF~XYZ

Answers

Answer:

DEF~XYZ

xz/DF=xy/de in similar triangle side are proportional

3x/7=7.5/5

3x=7.5/5 ×1/7=7.5/35

Please can i have the correct answer this is a important test
I will mark you brainliest
I just need part B only

Answers

Answer:

thin think back to wen you were l lerning about it come on you can do it

Rewrite the following expression using exponents

1/16

Answers

Answer:

6.25 * 10^-2

Step-by-step explanation:

hmmmmmmmmm

4^-2 is the answer 4 exponent -2

Which of the following is a perfect square?

A.) 115
B.) 169
C.) 154
D.) 279

Answers

Answer:

B (169)

Step-by-step explanation:

Find the volume of the prism.
5 ft
3 ft
5 ft
4 ft

Answers

Answer:

you have to show the prism

I think it’s 300 cubed ft

Item 5
Find the area of the circle. Round your answer to the nearest hundredth.



area: about
cm2

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Here’s the link to the answe

:510 around th e cme3 cthulhu.com

(3x + 4)3
How is this written in expanded form?

Answers

9x+12

3(3x)+3(4) = 9x+12

Answer:

(3x + 4)3

By using distributary property,

(3x × 3) + (3 × 4)

9x+12

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