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A 45 foot long escalator rises from the first floor to the second floor of a shopping mall. The escalator makes a 30° angle with the horizontal. How high above the first floor is the second floor?

A26 ft
B78 ft
C22.5 ft
D45 ft ...?

Verified Answer :

MissPhiladelphia

For the answer on the problem above,
we  will beusing trigonometry to solve this problem
SOH CAH TOA
we use sinx=opp/adj
sin(30)=x/45
hence,
x=45sin(30) x=22.5

It's a 30-60-90 triangle, the side opposite the 30 degree angle is half of the hypotenuse. So the answer is C.22.5

I hope my answer helped you.

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