At a certain time of day a person 6 ft casts a 4ft shadow. How long is the shadow cast by a 21ft tree at the same time?

Question

At a certain time of day a person 6 ft casts a 4ft shadow. How long is the shadow cast by a 21ft tree at the same time?

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Thanh Thu 6 months 2021-07-17T16:13:20+00:00 1 Answers 0 views 0

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    2021-07-17T16:14:21+00:00

    Answer:

    Designate the unknown shadow length by s. Shadows cast at the same time and place are proportional to the height of the object casing the shadow. Therefore:

    4/6 = s/21, or s = [4(21)]/6 = 14 feet.

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