On a day when the sun passes directly overhead at noon, a 6-ft-tall man casts a shadow of length s(1) = 6 cot 12 where S is measured in feet and t is the number of hours since 6 A.M. 6 ft (a) Find the length of the shadow at 11:00 A.M., noon, 1:00 P.M., and 5:15 P.M. (Round your answers to two decimal places.) 11:00 A.M. noon 1:00 P.M. 5:15 P.M. X ft|0 ft ft ft (b) Sketch a graph of the function S for 0

Mathematics For Machine Technology
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Chapter21: Direct And Inverse Proportions
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On a day when the sun passes directly overhead at noon, a 6-ft-tall man casts a shadow of length
s(1) = 6 cot
12
where S is measured in feet and t is the number of hours since 6 A.M.
6 ft
(a) Find the length of the shadow at 11:00 A.M., noon, 1:00 P.M., and 5:15 P.M. (Round your answers to two decimal places.)
11:00 A.M.
noon
1:00 P.M.
5:15 P.M.
X ft|0
ft
ft
ft
(b) Sketch a graph of the function S for 0 <t< 12.
Transcribed Image Text:On a day when the sun passes directly overhead at noon, a 6-ft-tall man casts a shadow of length s(1) = 6 cot 12 where S is measured in feet and t is the number of hours since 6 A.M. 6 ft (a) Find the length of the shadow at 11:00 A.M., noon, 1:00 P.M., and 5:15 P.M. (Round your answers to two decimal places.) 11:00 A.M. noon 1:00 P.M. 5:15 P.M. X ft|0 ft ft ft (b) Sketch a graph of the function S for 0 <t< 12.
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