A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 59 miles north of the transmitter to a second city 64 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

Question

dan815 · Answer

|dw:1392103741524:dw|

dan815 · Answer

find intersection of line with the circle of radius 50

anonymous · Answer

|dw:1392107181962:dw|
So solve for the two points by plugging in the equation of the line into the circle, and then fine the hypotenuse of that line correct?