Solve
-A Balloon Is Secured to Rope That Is Staked $2 \sqrt { 70 } \mathrm { ft }$

Solve.
-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 60 feet from where the rope is staked down. Find the altitude of the balloon if the rope is 80 feet long.

A) $2 \sqrt { 70 } \mathrm { ft }$
B) $2 \sqrt { 5 } \mathrm { ft }$
C) $20 \sqrt { 7 } \mathrm { ft }$
D) $100 \mathrm { ft }$