Final answer:
Using trigonometry, we find the measure of elevation for each ramp by setting up a right triangle with the vertical distance and ramp length, then applying the sine function and taking the inverse sine to get the elevation angle rounded to the nearest degree.
Step-by-step explanation:
To find the measure of elevation for each ramp in the parking garage, we can use trigonometry. Given that each level is 20 feet apart vertically and each ramp is 130 feet long, we can set up a right triangle with the vertical distance (height) as one leg and the ramp (hypotenuse) as the other.
We will use the sine function, which is defined as the ratio of the opposite side to the hypotenuse in a right triangle. So, we have:
sin(elevation) = opposite/hypotenuse
sin(elevation) = 20 ft / 130 ft
To find the elevation angle, we take the inverse sine (arcsin) of the ratio:
elevation = arcsin(20 ft / 130 ft)
After calculating, we round to the nearest degree to determine the measure of elevation for the ramp.