Suppose a Plane Flies at a Constant Groundspeed of 500 $526.99 \mathrm { mi } / \mathrm { h }$

Multiple Choice

Suppose a plane flies at a constant groundspeed of 500 miles per hour due east and encounters a 50 mile-per-hour wind from the northwest. Both the airspeed and the compass direction Must change to for the plane to maintain its groundspeed and eastward direction. Find the airspeed to Maintain its groundspeed and eastward direction. Round your answer to two decimal places.

A) $526.99 \mathrm { mi } / \mathrm { h }$
B) $507.99 \mathrm { mi } / \mathrm { h }$
C) $485.99 \mathrm { mi } / \mathrm { h }$
D) $643.99 \mathrm { mi } / \mathrm { h }$
E) $465.99\mathrm { mi } / \mathrm { h }$