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WAEC Mathematics 2022 Paper

Question : 26

Total: 47

Solution:

Concept:

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

Explanation:

Height of tree above the boy's eye level is

12 - 1.4 = 10.6

Horizontal distance from the boy to the tree is

10

So,

\tan \theta = \frac{\text{opposite}}{\text{adjacent}} = \frac{10.6}{10} = 1.06

Therefore,

\theta = \tan^{-1}(1.06) \approx 46.67^\circ

Correct to the nearest degree,

\theta \approx 47^\circ

Answer:

47^\circ

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