From the top of a cliff 92 m high, the angle of depression of a buoy is 200. Calculate to the nearest metre, the distance of the buoy from the foot of the cliff.
From the top of a cliff 92 m high, the angle of depression of a buoy is 200. Calculate to the nearest metre, the distance of the buoy from the foot of the cliff.

Solution:

Consider AB as the cliff whose height is 92 m

So we get

x = 92 × 2.7475

x = 252.7700 m

Hence, the distance of the buoy from the foot of the cliff is 252.77 m.