Question

From a point on a bridge across a river the angle of depression of the banks on opposite sides of the river are 60° and 45° respectively. If the bridge is at a height of 9 meter form the banks, Find the width of river.​

Answer 1

It is given in class 10 NCERT solved examples. pls refer it from there!!

Hope this info might help u!!

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Answer 2

Let the river banks be C and D respectively

Given: Height of the bridge, AB = 9m

To find: Width of the river i.e CD

Angle of depression to bank C from A

tan60° = $\rm\frac{AB}{BC}$

=> √3 = $\rm\frac{9}{BC}$

=> BC = 9√3 m

Angle of depression to bank D from A

tan45° = $\rm\frac{AB}{BD}$

=> 1 = $\rm\frac{AB}{BD}$

=> AB = BD

So, BD = 9 m

Therefore, width of the river, CD = BC + BD

CD = 9√3 m + 9 m

CD = 9(√3 + 1) m