Review question

# Two swimmers cross a river - can we calculate its width? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7596

## Question

The above figure shows the parallel banks of a straight stretch of river.

Starting from the point $A$ on a bank, a man swims at an angle of $40°$ with the bank, reaching a point $B$ on the opposite bank after swimming $150$ yd. A second swimmer also leaves the bank at $A$ but reaches the opposite bank at $C$. If $BC = 50$ yd., calculate

1. the width of the river;
2. the angle between $AB$ and $AC$.