Mathematics

Mathematics

Problem

Under a 2020-ft streetlamp, a 55-ft tall runner moves directly away from the lamp. At the moment the runner is 15 ft15\text{ ft} from the base, the tip of the runner’s shadow is moving at 8 ft/s8\text{ ft/s}. How fast is the runner moving at that instant? a) 8 ft/s8\text{ ft/s} b) 6 ft/s6\text{ ft/s} c) 12 ft/s12\text{ ft/s} d) 6.4 ft/s6.4\text{ ft/s}

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