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?

A. 26 ft
B. 78 ft
C. 22.5 ft
D. 45 ft ...?

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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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? A. 26 ft B. 78 ft C. 22.5 ft D. 45 ft ...?

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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?

A. 26 ft
B. 78 ft
C. 22.5 ft
D. 45 ft ...?