Jet fly by

Geometry Level 5

A farmer on an open tractor is traveling on a straight road heading north at \(10 \frac{km}{hr}\). A jet pilot is training by flying at high speed and low altitude in the area. The jet is travelling at a steady speed of \(800 \frac{km}{hr}\) at an altitude of 100 meters when it crosses the road the tractor is traveling on. The jet is traveling west in a straight line. The plane crosses the road 100 meters south of the tractor's position on the road. Because of the noisy tractor the farmer cannot hear the approaching plane coming until the plane is 300 meters or less from the tractor. What is the plane's position, expressed in meters, east of the road when the farmer first hears the plane?

Assume the speed of sound is \(340 \frac{m}{s}\)

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