WAEC - Mathematics (2005 - No. 40)

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
\(15\sqrt{3}m\)
\(15\sqrt{2}m\)
\(10\sqrt{3}m\)
\(5\sqrt{3}m\)

Explanation

Tan 60º = \(\frac{15}{x}\)

cross multiply:

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

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