SOLUTION: Please help me with this problem: RADIO BROADCASTING RANGES The signal from a radio station has a circular range of 50 miles. A second radio station, located 100 miles east and

Algebra ->  Graphs -> SOLUTION: Please help me with this problem: RADIO BROADCASTING RANGES The signal from a radio station has a circular range of 50 miles. A second radio station, located 100 miles east and       Log On


   



Question 377599: Please help me with this problem:
RADIO BROADCASTING RANGES 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 80miles. Are there locations where signals can be received from borth radio stations? Explain answer.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between the 2 stations is
d+=+sqrt%28100%5E2+%2B+80%5E2%29+=+sqrt%2816400%29
d =~ 128.06 miles
That's less than the sum of their ranges, so there is some overlap.
Inside the overlap area, both stations are within range.