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WAEC Mathematics 2014 Paper

Question : 27

Total: 49

Solution:

Concept:

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

Explanation:

Vertical height from the man's eye to the top of the pole is:

8.3 - 1.7 = 6.6

Horizontal distance from the man to the pole is

13

Using

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

\tan \theta = \frac{6.6}{13}

\tan \theta = 0.5077

\theta = \tan^{-1}(0.5077)

\theta \approx 26.9^{\circ}

Correct to the nearest degree,

\theta = 27^{\circ}

Answer:

27^{\circ}

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