Q. 464.1( 13 Votes )

# From the top of a 50 m high tower, the angles of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. Find the height of the pole.

Answer :

In the fig CE is the height of the pole and x be the distance between tower and pole.

In ∆ADE

tan 45° =

1 =

x = 50-h ----- (1)

In ∆ABC

tan 60° =

√3 =

x = -----(2)

On substituting value of x in eqn (1), we get

50 – h =

h = 50 -

21.13m

Therefore the height of the pole is 21.13m

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