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The angle of depression of a point Q from a vertical tower PR, 30m high,...

Mathematics
WAEC 2002

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
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Correct Answer: Option A
Explanation

\(\tan 40° = \frac{30}{|PQ|}\)

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

= 35.75m


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts