# From a point on the ground, the angles of elevation of the bottom and top of a tower fixed at the top of a 20 m high building are 45 o& 60 o respectively. Find the height of the tower.

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by rajara4arose

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by rajara4arose

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=1=20÷x

=x=20

tan 60=h+20÷x

=√3=h+20÷x

=√3×x=h+20

=√3×20=h+20

=by transposition

=h=20√3-20

=h=20(√3-1)

so the height of the tower is

h=20(√3-1)