A boy 14 m tall, stood 10m away from a tree of height 12 m.
MATHEMATICS
WAEC 2022
A boy 14 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.
- A. 70°
- B. 47°
- C. 19°
- D. 8°
Correct Answer: A. 70°
Explanation
The angle of elevation
= Tan θ= \(\frac{opp}{adj}\)
Tan θ = \(\frac{12+14}{10}\)
Tan θ = \(\frac{26}{10}\)
θ = Tan\(^{-1}\)(2.6)
θ ≈ 70º
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