Question

A rope is tied to the bottom of a hot air balloon ad shown below The rope makes an angle of 35 with the ground and is 75 ft long. How far is the bottom of the balloon from the ground to the nearest foot .

Answer 1

The answer to your question is 43 ft

Explanation:

Data

angle = Ф = 35°

length = 75 ft

height = ?

Process

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.

sin Ф = Height / length

-Solve for height

height = length x sin Ф

-Substitution

height = 75 x sin 35

-Simplification

height = 75 x 0.574

-Result

height = 43 ft