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

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})
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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