Question

A kite on a 160-foot string is caught on a pole. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 50 feet from the bottom of the pole. The string forms an angle of _______° with the ground when it is stretched like this.

17
18
72
78

Answer 1

72°

Explanation:

:)

Answer 2

72°

Explanation:

The string, pole, and ground form a right triangle. The hypotenuse of this triangle is 160 feet. The base of the triangle is 50 feet. The angle adjacent to the base can be found with cosine:

cos x = 50 / 160

x = acos(50 / 160)

x ≈ 72°