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 = 31°, a = 35 ft, and b = 170 ft.

Question

Mathematics

Aryan Warner

7 April, 17:14

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 = 31°, a = 35 ft, and b = 170 ft.

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Brenden Patel · Answer 1

Let L be the total Length, so L=L1 + L2 + L3L1 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