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

Mathematics
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In a 30-60-90 triangle, the side opposite the 30 degree angle is 1/2 the hypotenuse. So C
using trigonometry to solve. SOH CAH TOA we use sinx=opp/adj sin(30)=x/45 hence, x=45sin(30) x=22.5

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