An escalator at a science center is 84 feet long and is used to transport passengers a vertical distance of 45 feet to the second floor
of the science center. What is the angle with the first floor needed for
the escalator to reach the second floor? (Please use the exact ratio to
calculate the angle and round your answer to the nearest tenth).

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

15 / 2 = 7.5

100 / 7.5 = 13.