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WAEC Mathematics 2024 Paper

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Question : 44

Total: 50

A cliff on the bank of a river 87 m high. A boat on the river is 22 m away from the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

76 $^{\circ}$
64 $^{\circ}$
36 $^{\circ}$
24 $^{\circ}$

Solution:

From the figure above, using SOH CAH TOA

Tan $\alpha$ = $\frac{\text{opposite}}{\text{adjacent}}$

Tan $\alpha$ = $\frac{87}{22}$ = 3.9545

$\alpha$ = Tan $^{-1}$ (3.9545) = 76º

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