Ski Ramp Problem

Skiers launch from a ramp at a height of $h$ meters above the landing area, with the ramp angled at $\theta$ degrees above the horizontal. Due to different skiing techniques and conditions, skiers will have launch speeds ranging from $v_{\text{min}}$ to $v_{\text{max}} \text{ m/s}$. Your task is to determine the minimum width of the landing ramp needed to safely catch all skiers.

The landing ramp will have a very simple design. It will be a flat platform exactly on level at the ground.

Find the horizontal and vertical speed of the slowest potential skier. His speed magnitude should be $v_{\text{min}} = 26 \text{ m/s}$ and launch ramp incline is of $\theta = 7°$.