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

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

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)

Related:  Mathematics Theory A survey of 40 students showed that 23 students study Mathematics, 5 study Mathematics and...