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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? 

 Dec 15, 2017
edited by Guest  Dec 15, 2017
 #1
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 Dec 15, 2017
edited by Guest  Dec 15, 2017
 #2
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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

 

 

cool cool cool

 Dec 15, 2017

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