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Sagot :
Answer:[tex]\frac{253}{44}[/tex]
Step-by-step explanation:
ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.
Similar triangles so we can do [tex]\frac{50}{x+y} = \frac{6}{y}[/tex].
Solve for it we get 44y = 6x
Differentiate relative to time t, we get 44y' = 6x'.
change in x (x') is equal to 5. And we get the answer y' = [tex]\frac{33}{44}[/tex].
the [tex]\frac{33}{44}[/tex] ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.
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