Question
A light is hung 15 ft above a straight horizontal path. If a man 6 ft tall is walking away from the light at the rate of 5 ft/sec, how fast is his shadow lengthening and at what rate is the tip of the man’s shadow moving?
Answers
Steve
depends on where the man is.
If the man's distance is x, and the shadow has length s, then
(x+s)/15 = s/6
Now just differentiate and plug in the distance when you finally deign to include it.
If the man's distance is x, and the shadow has length s, then
(x+s)/15 = s/6
Now just differentiate and plug in the distance when you finally deign to include it.
Jae
If the man is 8 feet away from the light?