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Post-UTME Mathematics 2009 Objective — Question 11

Question 11 of 15 from the Post-UTME Screening (Post-UTME) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

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A cliff on the bank of a river is 300 meters high. If the angle of depression of a point on the opposite side of the river is 60°, find the width of the river.

  • A. 100m
  • B. 75√3m
  • C. 100√3mCorrect
  • D. 200√3m

Explanation

width = height/tan60° = 300/√3 = 100√3m.

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