Solve the Problem $5 \sqrt { 2 } \mathrm { ft }$

Multiple Choice

Solve the problem.
-A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 70 feet from where the rope is staked down. Find the
Altitude of the balloon if the rope is 120 feet long.

A) $5 \sqrt { 2 } \mathrm { ft }$
B) $5 \sqrt { 38 } \mathrm { ft }$
C) $10 \sqrt { 193 } \mathrm { ft }$
D) $10 \sqrt { 95 } \mathrm { ft }$