Physics

Problem

A boat heading at an angle of

37^{\circ}

upstream relative to the bank maintains a speed of

10\,\text{m/s}

relative to the water. The river flows at

6\,\text{m/s}

. The river width is

320\,\text{m}

. Calculate the actual distance the boat travels relative to the ground (displacement magnitude). (Use

\cos 37^{\circ} = 0.8

\sin 37^{\circ} = 0.6

)