How far should galileo walk up the inclined plane?

we are given

angle =12 degree

so,

height is 100m

so,

we need to find length of inclined path

so, we have to find hypotenuse

Let's assume

hypotenuse =x

so, we can use trig

and we can solve for x

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

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

the answer is 13 cm