Question

A hot-air balloon is tied to the ground with two ropes, as shown below. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50° with the ground. Determine the height of the balloon above the ground, to the nearest foot. For this open-ended question, do you want to type your answer or upload the picture of your work on the paper? *

Answer 1

84 feet

Explanation:

Since you are given an angle and the length of hypotenuse, you can use the trigonometric function sine.

sinθ = opposite length / hypotenuse length

sin (50) = x / 110

sin(50) * 110 = x

~84 feet

Answer 2

84 ft

Explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side / hypotenuse

sin 50 = y / 110 where y is the height above the ground

110 sin 50 = y

84.26488 = y

To the nearest foot

84 ft