A man's eye level is 1.7m above the horizontal ground and 13m from a vertical...

MATHEMATICS
WAEC 2014

A man's eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

  • A. 33°
  • B. 32°
  • C. 27°
  • D. 26°

Correct Answer: C. 27°

Explanation

tan \(\theta = \frac{opp}{adj} = \frac{6.6}{13}\)

tan \(\theta = 0.5077\)

\(\theta\) = tan-1 0.5077

\(\theta = 27^o\)



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