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2007

Mathematics

67ca00ce0c643c71d77dee1f

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30°. Determine the height of the tower.

A.

(40√3)/3 m

B.

20 m

C.

40√3 m

D.

40 m

Correct Answer: (40√3)/3 m

Explanation

Tan30=h/40 1/√3=h/40 h√3=40h=40/√3 h=40/√3×√3/√3 h=(40√3)/3

Tan30=h/40 1/√3=h/40 h√3=40h=40/√3 h=40/√3×√3/√3 h=(40√3)/3
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