WAEC - Mathematics (1999 - No. 20)

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff
14.9 o
15.5 o
74.5 o
75.1 o

Explanation

From the diagram above:

\(\tan \theta = \frac{20}{75} = 0.267\)

\(\theta = \tan^{-1} 0.267 = 14.93°\)

\(\approxeq\) 14.9°

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