Q. 183.8( 16 Votes )

On a horizontal plane there is a vertical tower with a flag pole on the top of the tower. At a point 9 metres away from the foot of the tower the angle of elevation of the top and bottom of the flag pole are 60° and 30° respectively. Find the height of the tower and the flag pole mounted on it.

Answer :

Let the height of the Flag-pole = h(m)

And height of tower = (m)

In ∆ABC,

tan 60° =

√3 =

h+ = 9√3 -------(1)

In ∆DBC,

tan 30° =


√3 = 9


Now substituting value of in eqn. (1)

h+3√3 = 9√3

h = 9√3-3√3

h = 6√3 m.

Therefore height of tower is 3√3 m. and height of flag pole is 6√3 m.

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