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Aprojector, laying on the ground, illuminates the wall at a building standing 5 rn away. Aperson 1.6 m tall walks from the projector to the
Aprojector, laying on the ground, illuminates the wall at a building standing 5 rn away. Aperson 1.6 m tall walks from the projector to the wall. We would like to determine the rate at which the person's shadow decreases the moment the person is 3 m from the wall, given that, at that moment, the person is walking toward the wall at 1.2 mls. To solve this problem, let a: be the distance in meters between the walker and the wall, y the height of their shadow in meters, and t the time in seconds. (a) Sketch a diagram and use similar triangles to express 3/ as a function of a: . y = ED m (b) What is the value at (1: at the moment in question? Give its value with two decimals precision, paying attention to the sign. at it" E Number mls
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