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 64o and 62o respectively. Find the length of the flagstaff.
-
A.
60 (tan 62o – tan 64o) -
B.
60 (cot 64o – cot 62o) -
C.
60 (cot 62o – cot 64o) -
D.
60 (tan 64o – tan 62o)
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 64o – tan 62o)