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Numerical Ability
Height and Distance
From the top of a building 60 metres high the angles of depression of the top and bottom of a tower are 30° and 60° respectively. The height of the tower is,
option
(A) 40m
(B) 30m
(C) 20m
(D) 50m
(E) 23m
Read Solution (Total 4)
-
- as given,
From the top of a building 60 metres high the angles of depression of the top and bottom of a tower are 30° and
60° respectively,
hence,
applying tan 60 = p/b =60/base i.e, base = 60/tan 60,
again,
tan 30 = p/b = p/(60/tan 60)
hence, p=20 meters
so,The height of the tower = (60-20)meters
= 40 meters
- 11 years agoHelpfull: Yes(20) No(2)
- answer is 40 only..
- 11 years agoHelpfull: Yes(2) No(1)
- [a] 40m
60/b=tan(60)
b=20(sqrt3)
now p1/20(sqrt3)=tan(30)
so p1=20
hieght of tower is 60 -20= 40m - 11 years agoHelpfull: Yes(0) No(0)
- 40 is ans......
- 9 years agoHelpfull: Yes(0) No(0)
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