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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\(^o\)
  • B. 53.67\(^o\)
  • C. 52.40\(^o\)
  • D. 51.32\(^o\)
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Correct Answer: Option B
Explanation

Open Photo

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

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

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


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