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The angle of elevation of the top of a cliff 15 meters high from a...

Mathematics
WAEC 2005

The angle of elevation of the top of a cliff 15 meters high from a landmark is 60º. How far is the landmark from the foot of the cliff? Leave your answer in surd form

  • A. \(15\sqrt{3}m\)
  • B. \(15\sqrt{2}m\)
  • C. \(10\sqrt{3}m\)
  • D. \(5\sqrt{3}m\)
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Correct Answer: Option D
Explanation

Tan 60º = \(\frac{15}{x}\)

cross multiply:

x = \(\frac{15}{\sqrt3}\) = 5\(\sqrt3\)m


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