A Baseball Diamond Is a Square, 90 Feet on a Side

Multiple Choice

A baseball diamond is a square, 90 feet on a side. If the third baseman fields a ground ball 70 feet directly behind third base, how far must he throw the ball to throw a runner out at first base? Find the exact answer. Then give an approximation to two decimal places.

A) $11 \sqrt { 337 } \mathrm { ft } \approx 201.93 \mathrm { ft }$
B) $9 \sqrt { 337 } \mathrm { ft } \approx 165.22 \mathrm { ft }$
C) $11 \sqrt { 337 } \mathrm { ft } \approx 183.58 \mathrm { ft }$
D) $10 \sqrt { 337 } \mathrm { ft } \approx 183.58 \mathrm { ft }$
E) $9 \sqrt { 337 } \mathrm { ft } \approx 183.58 \mathrm { ft }$