A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate

MATHEMATICS
WAEC 2020

A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence.

  • A. 76.11°
  • B. 53.67°
  • C. 52.40°
  • D. 51.32°

Correct Answer: B. 53.67°

Explanation

Tan \(\theta\) = \(\frac{13.6}{10}\)

= tan\(^{-1}\)(1.36)

\(\theta\) = 53.67\(^o\)



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