Car Traveling at Night

A car is traveling at night along a highway shaped like a parabola with its vertex at the origin. The car starts at a position 100 m west and 100 m north of the origin and travels in an easterly direction. There is a statue located 100 m east and 50 m north of the origin. At what point on the highway will the car's headlights (or tail lights) illuminate the statue?

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This Demonstration illustrates problem 6, p. 267 in J. Stewart, Calculus: Early Transcendentals, 6th ed., Belmont, CA: Thomson Brooks/Cole, 2008.

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