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- anonymous

This question is killing me! Someone walk me through it step by step?
A small radio transmitter broadcasts in a 34 mile radius. If you drive along a straight line from a city 45 miles north of the transmitter to a second city 44 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

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- anonymous

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- anonymous

draw a picture

- Mertsj

|dw:1326772307620:dw|

- Mertsj

Looks to me like none of the time. He is always more that 34 miles from the transmitter.

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- anonymous

|dw:1326772439382:dw|

- anonymous

The driving route can be fixed by the points: (0, 45) and (44, 0)
The transmitting area is defined by the circle:
\[x^2 + y^2 = 34^2\]
So write the equation for the line and substitute that into the equation of the circle to get the two points and then find the distance between the two pints.

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