From the top of a cliff 20m high, a boat can be sighted at sea...

MATHEMATICS
WAEC 1999

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff

  • A. 14.9o
  • B. 15.5o
  • C. 74.5o
  • D. 75.1o

Correct Answer: A. 14.9o

Explanation

\(\tan x = \frac{20}{75} = 0.267\)

\(x = \tan^{-1} 0.267 = 14.93°\)

\(\approxeq\) 14.9°



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