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A cliff on the bank of a river is 300 meters hi... - JAMB Mathematics 2009 Question

A cliff on the bank of a river is 300 meters 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
75√3m
B
100√3m
C
200√3m
D
100m
Ask EduPadi AI...
Correct Option: B

Tan 60o = (\frac{300}{x})

x Tan 60o = 300

x√3 = 300

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

x = (\frac{300\sqrt{3}}{3}) x 100(\sqrt{3})

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