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)


tan 45° =

1 =

x = 5m


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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