Related Rates: Problem Solving
Direction: Solve each word problem involving a related rates. Make a sketch of your work
if necessary, and then apply differentiation.
A light is hung 15 feet above a straight horizontal path. If a man 6 feet tall walking
away from the light at a rate of 5 feet per second, how fats is the man’s shadow
lengthening when the man is 8 feet from the base of the light source?
PLEASE ANSWER MY QUESTION QUICKLY!!
DEADLINE : 05/03/2022 11 : 00 PM
x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole. i assume the man and pole are standing straight up, which means the 2 triangles are similar.
differentiate both sides with respect to
t or time.
actually, the man's distance from the base doesn't matter since only his speed affects how fast his shadow moves.
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