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From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?

Correct answer: C. 173 m

  • A. 149 m
  • B. 156 m
  • C. 173 m
  • D. 200 m

Explanation

Using tan 30° = height/distance, the distance is 100 m ÷ tan 30° = 100 m ÷ 0.577 ≈ 173 m. A student may choose 200 m by using an incorrect value for tan 30° or by confusing the given height with the required distance.

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