Question

A wheelchair ramp needs to be pitched at 8 degrees. If the ramp is to access an 18-inch step to a door what will be the length of the ramp to the nearest inch?

Please help

Answer 1

Answer : The length of the ramp to the nearest inch will be, 129.49

Step by step explanation :

As we know that,

`\sin \theta =(Perpendicular)/(Hypotaneous)`

In the given image, the value of
`\theta`(the angle between the base and the hypotaneous) is
`8^o` and the value of perpendicular is 18 inch.

Now we have to calculate the value of the hypotaneous by using above expression, we get

`\sin \theta =(Perpendicular)/(Hypotaneous)`

`\sin 8^o=(18inch)/(Hypotaneous)`

`0.139=(18inch)/(Hypotaneous)`

`Hypotaneous=(18inch)/(0.139)`

`Hypotaneous=129.49inch`

The hypotaneous is equal to the length of the ramp = 129.49 inch

Therefore, the length of the ramp to the nearest inch will be, 129.49