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JAMB Mathematics 2017 Objective — Question 25

Question 25 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

From the top of a tree, the angle of depression to a point on the ground 5m away is 60°. Find the height of the tree.

A. A. 5√3 mCorrect
B. B. √55 m
C. C. 4√5 m
D. D. √60 m

Explanation

tan60° = height/5, so height = 5tan60° = 5√3 m.

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