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A student sitting on a tower 68 metres high obs... - JAMB Mathematics 2008 Question

A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20o. How far is the car from the bottom of the tower to the nearest metre?

A
184m
B
185m
C
186m
D
187m
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Correct Option: D

Tan 20o = (\frac{68m}{x})

x tan 20o = 68

x = (\frac{68}{tan 20}) = (\frac{68}{0.364})

x = 186.8

= 187m

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