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WAEC Mathematics 2023 Paper

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Question : 6

Total: 50

The angle of elevation of the top of a building from a point Z on the ground is 50°. If the height of the building is 124 m, find the distance from Z to the foot of the building.

147.78m
104.05m
161.87m
192.91m

Solution:

From the diagram above; Tan $\theta = \;\frac{\text{opp}}{\text{adj}}$

tan50° = $\;\frac{124}{d}$

d = $\;\frac{124}{\tan 50}$

therefore, d = 104.05m

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