An escalator in a department store is to carry people a vertical distance of 20 feet between floors. How long is the escalator if it makes an angle of #30^circ# with the ground?

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Answer 1 · 2017-06-27T05:48:54

The escalator is #40# feet long

So this is our problem:
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Remeber
#Sin=(opp)/(hyp)#

#Cos=(adj)/(hyp)#

#Tan=(opp)/(adj)#

#color(white)(0)#

#Sin(30^o)=20/(hyp)#

#20/sin(30^o)=hyp#

#20/(1/2)=hyp#

#40=hyp#

The escalator -- or hypotenuse-- is #40# feet long