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

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

(tan 60^{circ} = frac{15}{x} Rightarrow x = frac{15}{tan60^{circ}\
x = left(frac{15}{sqrt{3}} times frac{sqrt{3}}{sqrt{3}}right)m Rightarrow 5sqrt{3}m)

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