Q. 665.0( 8 Votes )
A flag-staff stands on the top of a 5 m high tower. From a point on the ground, the angle of elevation of the top of the flag-staff is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the flag-staff.
In the fig let AD is the Flag-Staff of height h (m)
tan 45° =
x = 5m
tan 60° =
h + 5 = 5√3
h = 5√3-5
h = 5(√3-1)
h = 3.66 m
Therefore height of flag-staff is 3.66m
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