From the top of a cliff 92 m high.

From the top of a cliff 92 m high, the angle of depression of a buoy is 20°. Calculate to the nearest metre, the distance of the buoy from the foot of the cliff. (2005)

Solution:

Let AB be cliff whose height is 92 m
and C is buoy making depression angle of 20°.

A boy is flying a kite with a string of length 100 m. If the string is tight and the angle of elevation of the kite is 26°32′, find the height of the kite correct to one decimal place, (ignore the height of the boy).

Solution:

Let AB be the height of the kite A and AC is the string
and angle of elevation of the kite is 26°32′

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