Question

A boat has to cross a river. It crosses the river by making an angle of ${60}^0$ with the bank of the river due to the stream of the river and travels a distance of 600 m to reach the another side of the river. What is the width of the river?

Answer 1

$AB=$ Distance traveled by the boat $=600m$

$AC=$ Width of the river

$\sin 60=\frac{AC}{AB}$

$\frac{\sqrt{3}}{2}=\frac{AC}{600}$

$AC=\frac{600\sqrt{3}}{2}$

$AC=300\sqrt{3}m$

Hence width of the river is $300\sqrt{3}m$