JAMB Mathematics 2009 Objective — Question 35
Question 35 of 50 from the Joint Admissions and Matriculation Board (JAMB) 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 metres 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. 100 m
- B. 75sqrt3 m
- C. 100sqrt3 mCorrect
- D. 200sqrt3 m
Explanation
tan60 = h/x, where h=300m is the cliff height (rise) and x is the width. Actually with angle of depression 60 from the cliff: tan(30) relation gives x = 100sqrt3 m (per the original solution).
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