A wheelchair ramp is to be built from ground level to a platform that is 9 feet above the ground. The angle that the ramp makes with the ground is 11 degrees. What is the length of the ramp?

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Answer: the length if the ramp is 47.17 feet

Step-by-step explanation:

The wheelchair ramp makes an angle of 11 degrees with the ground and forms a right angle triangle. The length of the ramp becomes the hypotenuse of the right angle triangle.

The distance of the platform from the ground level forms the opposite side of the right angle triangle.

To determine the length of the ramp, h, we would apply the Sine trigonometric ratio. It is expressed as

Sin θ = opposite side/hypotenuse

Therefore,

Sin 11 = 9/h

h = 9/Sin 11 = 9/0.1908

h = 47.17 feet