a ballon has an angle of elevation of 54° from a point on the ground. from the point on the ground to the balloon the distance i

Question

r-ruslan [8.4K]

3 years ago

15

a ballon has an angle of elevation of 54° from a point on the ground. from the point on the ground to the balloon the distance i

s 250feet. a. how far up in the air is the balloon? b. sketch a diagram thay expains situation

Mathematics

2 answers:

wlad13 [49] · Answer 1 · 2022-09-15T09:10:19+03:00

Answer: 202.25 feet.

Step-by-step explanation:

You can draw a right triangle based on the information given in the problem, where the hypotenuse is 250 feet and the opposite side is the height of the balloon asked.

Therefore, you can solve it as following:

$sin\alpha=\frac{opposite}{hypotenuse}$

Substitute values and solve for x, then the result is:

$sin(54\°)=\frac{x}{250}\\x=250*sin(54\°)\\x=202.25$

swat32 · Answer 2 · 2022-09-15T11:26:56+03:00

<h2>Answer:</h2>

<u>The balloon is </u><u>202.25 feet</u><u> up in the air.</u>

<h2>Step-by-step explanation:</h2>

According to Trigonometric functions

Sin Ф = Perpendicular / Hypotenuse

So putting the values here

Sin (54) = x / 250

x = 202.25 feet

For diagram see the attached figure