- #1

WorkingHard2017

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## Homework Statement

A swimmer who achieves a speed of of 0.75 m/s in still water swims directly across a river 72m wide. The swimmer lands on the far shore at a position 54m downstream from the starting point. Determine the direction the swimmer would have the aim to land directly across from the starting position

## Homework Equations

v swimmer relative to ground = v swimmer relative to water + v water relative to ground

## The Attempt at a Solution

v water relative to ground = 0.56 m/s[/B]

tanθ = (0.56/0.75)

θ = 37° downstream from the starting position

so to land directly across the starting point, the swimmer would need to aim 37° upstream from the starting position. Is this correct? My book says 42° upstream from the starting position, but I can't see how that makes sense.