Intro to Calculus- Summer Review: Problem 5

Use this sketch to help understand what is happening in the problem and to check your answers. Your solution should show how to calculate the final values-- no fair just writting down the results from the sketch!

A light, on top of a post, is 14 feet above the ground. At night a 5 foot woman is standing 18 feet from the post.

1. How long is the woman's shadow?
2. Her friend, who is 6 feet tall, is standing so that the tip of his shadow conincides with the tip of her shadow. How far from the post is he standing?
3. Standing 18 feet from the post, the woman walks directly away from the post for 4 seconds at a rate of 3 feet per second. Find the average speed of the tip of her shadow during that 4 second interval.

Jeff Holcomb, Created with GeoGebra