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JAMB Mathematics 2008 Question 35

Question 35

Trigonometry

A student sitting on a tower 68 metres high observes his principal's car at an angle of depression of 20°. How far is the car from the bottom of the tower to the nearest metre?

  1. A.184m
  2. B.185m
  3. C.186m
  4. D.187m
Show the answer and explanation

Answer: D (187m)

Explanation

Distance = 68/tan 20° = 68/0.364 ≈ 186.8m, which is 187m to the nearest metre.