Question

A man 5.5 ft tall walks away from a lamp post 10 ft high at the rate of 8 ft/s.
(a) How fast does his shadow lengthen?
(b) How fast does the tip of the shadow move?
Can you please tell me what method/s you used to come up with a solution?

I wasn't sure about the sketch I made so I really don't know where to start....
http://www.jiskha.com/display.cgi?id=1439263714
a triangle has base of 1.6 inches and an altitude of 8 inches. find the dimensions of the largest rectangle that can be inscribed in the triangle if the base of the rectangle coincides with the base of the triangle.

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