Cory is building a ramp for his school theatre production. It must climb a height of 60cm and have a slope of 10 degrees.
a) what distance will the ramp run along the floor?
B) what will the distance along the surface of the ramp be?
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a) Distance along the floor, D, is given by
tan (10) = 60 / D multiply both sides by D
D * tan (10) = 60 divide both sides by tan (10)
D = 60 / tan(10) ≈ 340 cm
b) Ramp Length, R
sin (10) = 60 / R
R = 60 / sin (10) ≈ 345.5 cm
