# From a point on a bridge across a river the angles of depression of the banks on opposite side of the river are 30° and 45° respectively. If bridge is at the height of 30m from the banks, find the width of the river.

Let A and B be the points on the bank n opposite sides f the river and BC be the width of the river.

BC = BD+DC (m.

AD be the height of the bridge.

tan 45° =

1

---------(1)

tan 30° =

------------(2)

Width of the river = (

30√3+30

30(√3+1)m.

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