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each level of a parking garage is 22 feet apart, each ramp to a level is 122 feet long, find the measure of the angle of elevation for each ramp.

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Answer:

The measure of the angle of elevation for each ramp can be found using trigonometry. In this case, we can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side in a right triangle.

Let's consider a right triangle where the opposite side is the height of the parking garage level (22 feet) and the adjacent side is the length of the ramp (122 feet). The angle of elevation is the angle between the ground and the line of sight from the base of the ramp to the top of the parking garage level.

Using the tangent function:

tan(angle) = opposite/adjacent

tan(angle) = 22/122

angle = arctan(22/122)

Using a calculator, we can find that the arctan(22/122) is approximately 10.3 degrees. So, the measure of the angle of elevation for each ramp is approximately 10.3 degrees. This means that the ramps are inclined at an angle of 10.3 degrees with respect to the ground.

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User ChrisMacSEA
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