Question

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 ...?

Answer 1

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.22.5I hope my answer helped you.