Question

A wheelchair ramp needs to be pitched at gº. If the ramp is used to access an 18-inch step to a door, what will be the length of the ramp to the nearest inch? Sin 80 = 0.139 Cos 80 =0.990 Tan 8° 0.1405 O A. 3 inches o B. 96 inches O C. 44 inches D. 129 inches

Answer 1

it is given that,

the given ramp is a right angle ramp withe the angle 8 degrees,

it is given that

the ramp is used to access an 18-inch step to a door

so, the perpendicular of the ramp is P = 18 in

the length of the ramp is = hypotenuse,

`\sin \theta=\frac{\text{perpendicular}}{\text{hypotenuse}}`
`\begin{gathered} \sin 8=\frac{18}{\text{hypotenuse}} \\ \text{hypotenuse = }(18)/(0.139) \\ \text{hypotenuse = 129.49} \end{gathered}`

so, the length of the ramp is approx 129 in.

thus, the correct answer is option D