Trigonometry Question

Question

An escalator from the ground floor to the second floor of a department store is 22m long and rises 13m vertically.

A) What is the escalator’s angle of elevation?

Answer 1

draw a right triangle with the hypotenuse 22 m and the vertical leg 13 m

sine=opposite/hypotenuse

call the angle "A"

sinA=13/22

sinA=0.5909090...

use the arcsin function

sin^-1A=0.5909090...

angle A=36.22154662º or 36º 13' 17.568"