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WAEC Mathematics 1997 Question 39

Question 39

Trigonometry

The angle of elevation of a point T on a tower from a point U on the horizontal ground is 30°. If TU = 54m, how high is T above the horizontal ground?

  1. A.108m
  2. B.72m
  3. C.46.3m
  4. D.31.2m
  5. E.27m.
Show the answer and explanation

Answer: E (27m.)

Explanation

TU is the slanting line of sight, so height = 54 × sin 30° = 27 m.