Answer:
Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet
Step-by-step explanation:
Given:
Length of escalator = 30 feet
Distance between the floors = 12 feet
To find the distance from base of escalator to the point on the first floor directly below the top of the escalator we will create the figure for the situation.
From the figure we see that a triangle ABC is formed.
We see that the Δ ABC is a right triangle.
Applying Pythagorean theorem for right triangle ABC to find the missing side.
AB = 30 feet
BC = 12 feet
Plugging in values in the theorem.
Solving for AC.
Subtracting both sides by 144.
Taking square root both sides.
∴ feet.
∴ Distance from the base of the escalator to the point on the first floor directly below the top of the escalator = 27.5 feet
