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A cliff on the bank of a river 87 m high. A boat on the...

Mathematics
WAEC 2024

A cliff on the bank of a river 87 m high. A boat on the river is 22 m away from the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

  • A. 76\(^o\)
  • B. 64\(^o\)
  • C. 36\(^o\)
  • D. 24\(^o\)
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Correct Answer: Option A
Explanation

From the figure above, using SOH CAH TOA

Tan\(\alpha\) = \(\frac{\text{opposite}}{\text{adjacent}}\)

Tan\(\alpha\) = \(\frac{87}{22}\) = 3.9545

\(\alpha\) = Tan\(^{-1}\)(3.9545) = 76º

 

 


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