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.

Answer :

In the fig let AD is the Flag-Staff of height h (m)


In ∆ABC



tan 45° =


1 =


x = 5m


In ∆DBC


tan 60° =


√3 =


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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