- #1
sarah22
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Homework Statement
A light is hung 15ft above a straight horizontal path. If a man 6 ft tall is walking away from the light at the rate of 5ft/sec. How fast is his shadow lengthening? And at what rate is the tip of the man's shadow moving?
y = 6? or 15?
dx/dt = 6
Homework Equations
z^2 = x^2 + y^2 ?
The Attempt at a Solution
I tried looking for angle of it or whatever that came up on my mind. I really don't know where to start after getting the given.
My professor didn't show a same problem just like the above. It just shows us some spherical, cone, two cars moving from different location, a helicopter above and a satellite dish below that is rotating. But this one is so different.
It's not an assignment by the way. I'm just practicing and came up with this problem on the book. The answer at the back for the rate of the tip of the man's shadow moving is 25/3 ft/sec. How the heck did he get that?