Related Rates - Lamppost

HELP

A boy on a skateboard rolls away from a 15-ft lamppost at a speed of 3 ft/s. The boy's height on the skateboard is 6 feet. You can play or pause the animation by click the animation button in the lower left corner of the applet.

Explore

  1. Find the rate at which his shadow is increasing in length.
  2. If the boy's height on the skateboard is `h` feet and he rolls away from the lamppost at a rate of `s` feet per second, at what rate is his shadow length increasing?