Question

Kelly is flying a kite, using 223 ft. of string. The angle of elevation of the kite is 42°. Find the horizontal distance from Kelly to the point directly below the kite. Then find the height of the kite.(1 point)
Responses

Kelly is 165.72 ft. from the kite, and the kite is 277.83 ft. in the air.
Kelly is 165.72 ft. from the kite, and the kite is 277.83 ft. in the air.

Kelly is 149.22 ft. from the kite, and the kite is 165.72 ft. in the air.
Kelly is 149.22 ft. from the kite, and the kite is 165.72 ft. in the air.

Kelly is 300.08 ft. from the kite, and the kite is 200.80 ft. in the air.
Kelly is 300.08 ft. from the kite, and the kite is 200.80 ft. in the air.

Kelly is 165.72 ft. from the kite, and the kite is 149.22 ft. in the air.

Answer 1

Horizontal distance = 223·cos(42°) ≈ 165.72 ft.
Height = 223·sin(42°) ≈ 149.22 ft.

So: Kelly is 165.72 ft from the point directly below the kite, and the kite is 149.22 ft high.