Suppose a man who is 6ft tall is standing below a lamppost that is 20ft tall. the man is walking away for the lamppost at a rate of 5ft per second. 1. if the man is moving 5ft per second, make a conjecture as to the rate that his shadow is moving.

2. how far away from the lamppost is the man after 8 seconds?

3. how far is the end of his shadow from the bottom of the lamppost after 8 seconds? use similar triangles to solve this problem.