WAEC Mathematics 2020 Objective — Question 25
Question 25 of 50 from the West African Examinations Council (WAEC) Mathematics 2020 Objective paper, with the correct answer and a full explanation.
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A fence 2.4 m tall, is 10 m away from a tree of height 16 m. Calculate the angle of elevation of the top of the tree from the top of the fence.
- A. 76.11 deg
- B. 53.67 degCorrect
- C. 52.40 deg
- D. 51.32 deg
Explanation
The height difference between the tree and fence is 16-2.4=13.6m, at a horizontal distance of 10m. tan(theta)=13.6/10=1.36, so theta = tan^-1(1.36) = 53.67 deg.
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