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Infinite Geometric Series 2

ACTMAT-EISQ40

A ball is dropped from a height of 36 feet. Each time it bounces, it reaches a height of $\frac{2}{3}$ of the previous height.

If left to bounce indefinitely, what is the approximate total vertical distance traveled by the ball?

A

$\text{72 feet}$

B

$\text{108 feet}$

C

$\text{180 feet}$

D

$\text{120 feet}$

E

$\text{80 feet}$