Our good friend Queen Bey is out flying her private jet. While flying, she notes that there is a crosswind of 30 MPH (miles per hour) coming directly from the Northwest that affects her flight path. After 4 hours, Queen Bey finds that she is in a location that is 2600 miles from her starting point at a direction of 30 degrees North of East. Use this information to complete the problems that follow.

a) What was the average ground speed of Queen Bey's jet during the flight?

_______MPH

b) The wind blew Queen Bey's plane off of the course she had set for herself and also impacted the ground speed of the plane. What would her average ground speed have been if there had not been any wind? Round any decimal answers to AT LEAST 3 decimal places

_______MPH

c) As mentioned above, the wind blew Queen Bey's plane off course. Fill in the blank in the sentence below (Round any decimal answers to AT LEAST 3 decimal places):

If the wind had not blown the plane off course, Queen Bey's plane would have flown in a direction_______degrees North of East.