Shania needs a wheelchair ramp to access her house. She has a length of 25 feet in which to locate the ramp and her front door is 1.5 feet above the ground. For safety, the angle a wheelchair ramp makes with the ground should be no more than 3.5°. To determine if her ramp will fit within the guidelines, find the angle it will make with the ground. Round your answer to the nearest tenth.

Respuesta :

Shania ramp will fit within the guidelines, since the angle is 3.4°

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

Let θ represent the angle the ramp makes with the ground. Using trigonometric ratios:

sin(θ) = 1.5/25

θ = 3.4°

Shania ramp will fit within the guidelines, since the angle is 3.4°

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