Math word problem

Question

 small radio transmitter broadcasts in a 54 mile radius. If you drive along a straight line from a city 74 miles north of the transmitter to a second city 70 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

Answer 1

Solve the system of the following equations

x² + y² =54²

and x /70 + y /74 = 1