SOLUTION: 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

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.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 =
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.
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