By Poonam

Verified by Ajay Kumar

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.

  1. 9.55 meters and 15 meters

  2. 11.45 meters and 16 meters

  3. 17.32 meters and 10 meters

  4. 12.88 meters and 19 meters

Answer: C

Solution

Height = \(20 \sin 60^\circ = 20 \times \sqrt{3}/2 \approx 17.32\) meters. Horizontal distance = \(20 \cos 60^\circ = 20 \times 1/2=10\) meters.

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