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WAEC Mathematics 2016 Objective — Question 49

Question 49 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

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49. An object is 6cm away from the base of a mast. If the angle of depression of the object from the top of the mast is 50°, find, correct to 2 decimal places, the height of the mast. A. 8.60m B. 7.83m C. 7.51m D. 7.15m

  • A. 8.60m
  • B. 7.83m
  • C. 7.51m
  • D. 7.15mCorrect

Explanation

tan50°=h/6 → h=6tan50°=7.15m (2 d.p.).

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