posted by jay on .
a cb radio station c is located 3 mi from the interstate highway h. the station has a range of 6.1 mi in all directions from the station. if the interstate is along a straight line, how many miles of highway are in the range of this staion?
the miles of reception would be the length of the chord as the highway cuts through the circle of reception.
I see a right-angled triangle, with a hypotenuse of 6.1 (radius of the circle) , a side of 3 (highway is 3 miles from station) and a third side of x
x^2 + 3^2 = 6.1^2
x = √28.21
so the length of the chord (miles of reception) is 2(5.311) or 10.62 miles.
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