How much of the drive will you pick up a signal from the transmitter?

Question

A small radio transmitter broadcasts in a 43 mile radius. If you drive along a straight line from a city 53 miles north of the transmitter to a second city 54 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

Answer = ____ miles

Answer 1

Answer is zero miles

You're never within range of the transmitter

UNLESS there's a mistake in the problem.

a circle with radius 43, never intersects the line

from 53 miles north and 54 miles east