RELATED RATES QUESTION!?

2017-02-20 10:01 am
更新1:

A street light is at the top of a pole that is 13 feet tall. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the length of her shadow moving when she is 45 ft from the base of the pole?

回答 (1)

2017-02-20 8:52 pm
✔ 最佳答案
Photo link :
http://imgur.com/a/EVN3v

Suppose the length of her shadow is L(t) after t seconds.
tan θ = 6 / L(t) = 13 / ( L(t) + 45 + 4t )
13*L(t) = 6*L(t) + 270 + 24t
7*L(t) = 270 + 24t
L(t) = 270/7 + (24/7)t
L ' (t) = 24/7
Ans: 24/7 ft/sec


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