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Numerade Educator



Problem 15 Medium Difficulty

A street light mounted at the top of a $ 15-ft-tall $ pole. A man $ 6 ft $ tall walks away from the pole with a speed of $ 5 ft/s $ along a straight path. How fast is the tip of his shadow moving when he is $ 40 ft $ from the pole?
(a) What quantities are given in the problem?
(b) What is the unknown?
(c) Draw a picture of the situation for any time $ t. $
(d) Write an equation that relates the quantities.
(e) Finish solving the problem.


a) $15 \mathrm{ft}, 6 \mathrm{ft}, \quad 5 \mathrm{ft} / \mathrm{s}, 40 \mathrm{ft}$
b) The rate that the tip of the man's shadow is moving when he is 40 ft from the pole
c) See step for answer
d) $\frac{6}{15}$
e) $\frac{25}{3} \mathrm{ft} / \mathrm{s}$


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Video Transcript

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