Question: On a day when the sun passes directly overhead at noon, a 6-ft-tall person casts a shadow of length S(t) = 6 cot 6

On a day when the sun passes directly overhead at noon, a 6-ft-tall person casts a shadow of length S(t) = 6 cot 6 cot(2) 12 where S is measured in feet and t is the number of hours since 6 A.M. (See the following figure.) 6 ft 13 (a) Find the length of the person's shadow at 10:00 A.M., noon, 1:00 P.M., and 5:15 P.M. (Round your answers to two decimal places.) 10:00 A.M. noon 1:00 P.M. ft ft ft 5:15 P.M. ft

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