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JAMB Mathematics 1997 Question 35

Question 35

Trigonometry

The angle of elevation of a building from a measuring instrument placed on the ground is 30°. If the building is 40m high, how far is the instrument from the foot of the building?

  1. A.20/√3 m
  2. B.40/√3 m
  3. C.20√3m
  4. D.40√3m
Show the answer and explanation

Answer: D (40√3m)

Explanation

tan 30° = height/distance, so distance = 40 ÷ (1/√3) = 40√3 m.