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The angle of depression of a boat from the top of a cliff 10m high...

Mathematics
JAMB 1994
The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?
  • A. \(\frac{5√3m}{3}\)
  • B. 5√3m
  • C. 10√3m
  • D. \(\frac{10√3m}{3}\)
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Correct Answer: Option C
Explanation
RQP = 90o

PQS = 30o but

RQS = 90o = \(\frac{RS}{10}\)

RS = 10 tan 60o

RS = 10 tan 60o

RS = 10√3m
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