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The angle of depression of a point Q from a ver... - WAEC Mathematics 2002 Question

The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find, correct to 2 decimal places, |PQ|.

A
35.75m
B
25.00m
C
22.98m
D
19.28
correct option: a

\(\tan 40° = \frac{30}{|PQ|}\)

\(|PQ| = \frac{30}{\tan 40°} = \frac{30}{0.839}\)

= 35.75m

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