Question

Raul is flying a kite at the end of a string that is 250 feet long. Raul is holding the string 4 feet off the ground at the angle to the horizontal as shown. How high is the kite off the ground? Round your answer to the nearest tenth.

Answer 1

The kite is 109.7 ft off the ground.

Explanation:

Raul is flying a kite at the end of a string that is 250 feet long.

Raul is holding the string 4 feet off the ground at the angle to the horizontal as shown in the attached diagram.

We want to find out how high is the kite off the ground.

Recall from the trigonometric Identities,

`\sin(\theta) = (opposite)/(hypotenuse)`

Here we are given the hypotenuse that is 250 ft and opposite is the unknown height

`\sin(25) = (h)/(250)\\\\h = 250* \sin(25)\\\\h = 250* 0.4226\\\\h = 105.7`

We know that Raul is holding the string 4 feet off the ground so

105.7 + 4 = 109.7 ft

Therefore, the kite is 109.7 ft off the ground.