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A cliff on the bank of a river is 300 meter high. if the angle...

Mathematics
JAMB 2009

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?

  • A. 100m
  • B. 75√3 m
  • C. 100√3m
  • D. 200√3m
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Correct Answer: Option C
Explanation

Tan 60° = \(\frac{300}{\text{x}}\)

x = \(\frac{300}{tan 60}\)

x = \(\frac{300}{\sqrt{3}}\)

x =  \(\frac{300}{\sqrt{3}}\) x  \(\frac{\sqrt{3}}{\sqrt{3}}\)

x = \(\frac{300\sqrt{3}}{3}\)

x = 100\(\sqrt{3}\)m

There is an explanation video available below.


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Explanation Video

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