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WAEC Mathematics 2020 Paper

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Question : 23

Total: 48

A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence.

76.11 $^{\circ}$
53.67 $^{\circ}$
52.40 $^{\circ}$
51.32 $^{\circ}$

Solution:

Concept:

The angle of elevation is found using the tangent ratio in a right triangle.

Explanation:

Vertical height from top of fence to top of tree:

16 - 2.4 = 13.6

m

Horizontal distance from fence to tree:

10

m

Let the angle of elevation be

\theta

.

\tan \theta = \frac{\text{opposite}}{\text{adjacent}} = \frac{13.6}{10}

\tan \theta = 1.36

\theta = \tan^{-1}(1.36)

\theta = 53.67^{\circ}

Answer:

B.

53.67^{\circ}

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