Question

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.

14.2 feet
17.1 feet
47.6 feet
55.2 feet

Answer 1

Height = 50·sin(angle). So

- h25 = 50·sin 25° ≈ 50·0.4226 ≈ 21.1 ft
- h45 = 50·sin 45° ≈ 50·0.7071 ≈ 35.4 ft

Difference ≈ 35.4 − 21.1 = 14.2 ft.

Answer: 14.2 feet.