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A boy 1.4 m tall, stood 10m away from a tree of height 12 m....

Mathematics
WAEC 2022

A boy 1.4 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. 70º
  • B. 47º
  • C. 19º
  • D.
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Correct Answer: Option B
Explanation

The angle of elevation

= Tan θ = \(\frac{opp}{adj}\)

Tan θ = \(\frac{12- 1.4}{10}\)

Tan θ =  \(\frac{10.6}{10}\)

θ = Tan\(^{-1}\)(1.06)

θ ≈ 47º


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