A radio broadcasts in a 29 mile radius. If you drive a straight line from a city 38 miles north of radio to city 35 miles east of radio, how much of the drive will you pick up a signal from radio?

Answer 1

Equation of radio circumference:

x² + y² = 784

Equation of car's path

y = (-38x / 35) + 38

Substitute y in equation of circle

Solve for two common solutions

Determine distance between the two points