Respuesta :

we are given

angle =12 degree

so, [tex]\theta=12[/tex]

height is 100m

so, [tex]opposite =100[/tex]

we need to find length of inclined path

so, we have to find hypotenuse

Let's assume

hypotenuse =x

so, we can use trig

[tex]sin(12)=\frac{100}{x}[/tex]

and we can solve for x

[tex]x=\frac{100}{sin(12)}[/tex]

[tex]x=480.973[/tex]

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

ezequielburela

Answer:

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

Step-by-step 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