Question 834645
The signal from a radio station has a circular range of 50 miles.
 A second radio station located 100 miles east and 80 miles north of the first station has a range of 80 miles.
 Are there locations where signals can be received from both radio stations?
 Explain your answer.
:
Find the distance between the two stations, that would be the hypotenuse of a
right triangle formed by 100 mi east and 80 mi north
h = {{{sqrt(100^2+80^2)}}}
h = 128 mi from station 1 to station two
the stations coverages distances = 50 + 80 = 130 mi
They overlap 2 mi, so a small area should be able to receive both stations.