Question

How far should Galileo walk up the inclined plane?

Answer 1

Galileo should walk up to 480.79 meter over the inclined plane.

Explanation:

To know the distance which Galileo walks we will treat the inclinate plane as the hypotenuse of a rigth triangle where the altitude will be the opposite side.

For the trigonometric equations we know:

sin α = oppossit side / hypotenuse

hypothenuse = opposite side / sin α

Replacing the values for the opposite side and the inclination α:

hypothenuse = 100 m / sin 12° = 100 m / 0.2079 = 480.973434 m

Rounding the result to nearest hundreath:

hypothenuse = 489.97 m

Answer 2

we are given

angle =12 degree

so,
`\theta=12`

height is 100m

so,
`opposite =100`

we need to find length of inclined path

so, we have to find hypotenuse

Let's assume

hypotenuse =x

so, we can use trig

`sin(12)=(100)/(x)`

and we can solve for x

`x=(100)/(sin(12))`

`x=480.973`

So, the length of inclined path is 480.973...........Answer