Originally Posted by

**nobodygirl** 1)A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving along the ground when she is 30 ft from the base of the pole?

Okay, so here's what I did

dx/dt=5 x=30

y=16

need to find ds/dt (shadow)

s/6=(s+x)/16

16s=6s+6s

s=(3/5)x thus (3/5)=ds/dt

That's what my teacher told me to do, but I have no idea why I did that and I STILL don't know how to get the answers. I understand that I probably have to make a smaller triangle where the y is 6 ft, but I just don't know where to go from there.