Mathematics

Mathematics

Problem

A 1212-ft streetlamp stands on level ground. A 55-ft tall person walks directly away from the lamp at 3 ft/s3\text{ ft/s}. How fast is the tip of the person’s shadow moving when the person is 8 ft8\text{ ft} from the base of the lamp? a) 157 ft/s\dfrac{15}{7}\text{ ft/s} b) 517 ft/s\dfrac{51}{7}\text{ ft/s} c) 367 ft/s\dfrac{36}{7}\text{ ft/s} d) 174 ft/s\dfrac{17}{4}\text{ ft/s}

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