Steve is buying gas for $2.50 per gallon. He wants to buy 20 gallons for his truck. How much does he spend total?
2 answers:
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Answer:
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 .
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' = .
the 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.
Add 8.1 to both sides to find x!
hope this helps :-)
hope this helps :-)