Question

A kite is flying 79 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 50°. Find the length of the string. Round your answer to the nearest tenth.

Answer 1

If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).

To find the height x of the kite, we can apply the Pythagorean theorem.

x² = 11² - 8²

x² = 121 - 64

x² = 57

x =√57

Explanation: