A flagstaff stands on the top of a vertical tower. A man standing 60 m...

JAMB 1991

A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64^o and 62^o respectively. Find the length of the flagstaff.

A. 60 (tan 62^o - tan 64^o)
B. 60 (cot 64^o - cot 62^o)
C. 60 (cot 62^o - cot 64^o)
D. 60 (tan 64^o - tan 62^o)

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Correct Answer: Option D

Explanation

\(\frac{BC}{60}\) = \(\frac{tan 62}{1}\)

BC = 60 tan 62

\(\frac{AC}{60}\) = \(\frac{tan 62}{1}\)

AC = 60 tan 64

AB = AC - BC

= 60(tan 64^o - tan 62^o)

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