A Certain Ball When Dropped from a Height Rebounds $\frac{7}{10}$ Of the Original Height

Multiple Choice

A certain ball when dropped from a height rebounds $\frac{7}{10}$ of the original height. How high will the ball rebound after the fifth bounce if it was dropped from a height of 32 feet? Round your answer to the nearest tenth of a foot.

A) $5.4 \mathrm{ft}$
B) $6.7 \mathrm{ft}$
C) $3.4 \mathrm{ft}$
D) $7.7 \mathrm{ft}$