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Shown in the figure is part of a design for a water slide. Find the total length of the slide to the nearest foot, if α = 25°, β = 35°, a = 25 ft, and b = 200 ft. (Round your answer to one decimal place.)

Shown in the figure is part of a design for a water slide Find the total length of the slide to the nearest foot if α 25 β 35 a 25 ft and b 200 ft Round your an class=

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Nirina7
let L be the total Length, so L=L1 + L2 + L3
L1 is the first length

according to the figure L1 = a / sinβ = 25/ 0.57= 43.85 ft
                                     L3= a/sinα = 25 / 0.42=59.5 ft, 
for L2=b -L1-L3=96.62

so the total length is L=L1 + L2 + L3=  200ft

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