Mrs Kebeh stands at a distance of 110 m away from a building of vertical

MATHEMATICS
WAEC 2023

Mrs Kebeh stands at a distance of 110 m away from a building of vertical height 58 m. If Kebeh is 2 m tall, find the angle of elevation of the top of the building from her eye.

  • A. \(27^0\)
  • B. \(28^0\)
  • C. \(20^0\)
  • D. \(26^0\)

Correct Answer: A. \(27^0\)

Explanation

angle of elevation

Tan\(\theta = \frac{opp}{adj}\)

Tan\(\theta = \frac{56}{110}\)

\(\theta = tan^1(0.5091)\)

therefore, \(\theta\) = 27° ( to the nearest degree)



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