A man pulls a rope tied to a flagpole at ground level. The rope is 20 meters long and makes an angle of 60° with the ground. How high up the flagpole is the point where the rope is tied? Also, find the horizontal distance between the man and the base of the flagpole.
Show answer & explanation
Correct answer: C
Explanation
Given:
Rope length = 20 m
Angle with the ground = 60°
Formula:
Height = Hypotenuse × sin θ
Height = 20 × sin60°
= 20 × √3/2
= 17.32 m
Horizontal distance = Hypotenuse × cos θ
Horizontal distance = 20 × cos60°
= 20 × 1/2
= 10 m
Height = 17.32 m
Horizontal distance = 10 m