A street light is at the top of a 12 ft. tall pole. A woman 6 ft. tall walks away from the pole with a speed of 8 ft./sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft. from the base of the pole?
a. A street light is at the top of a 12 ft. tall pole. A woman 6 ft. tall walks away from the
pole with a speed of 8 ft./sec along a straight path. How fast is the tip of her shadow
moving when she is 40 ft. from the base of the pole?
b. A police car is located 40 feet to the side of a straight road. A red car is diving along the
road in the direction of the police car and is 200 feet up from the location of the police
car. The police radar reads that the distance between the police car and the red car is
decreasing at a rate of 90 feet per second. How fast was the car actually traveling on the
road?
c. TRUE or FALSE: If a skater is skating directly away from a 6 meter tall lamp at 7
meters per second, and you want to calculate the rate at which the skater’s shadow is
increasing in length, then you need to know how tall the skater is but you do not need to
know how far the skater has skated. Justify your answer.
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