Physics

Problem

A firefighter aims a hose at an angle of

53^{\circ}

above the horizontal to clear a fence located

20\,\text{m}

away. The water exits the nozzle at

20\,\text{m/s}

. If the fence is

12\,\text{m}

high, determine by how much vertical margin the water stream clears or fails to clear the top of the fence. Take

g = 10\,\text{m/s}^{2}