Question

galileo wanted to release a wooden ball and an iron ball from a height of 150 meters and measure the duration of their fall. he found a plane with an incline of 15 degrees that he could climb until he gets to an altitude of 150 m. how far should galileo walk up the inclined plane?

Answer 1

Explanation:

Alright, lets get started.

Please refer the diagram I have attached.

Suppose Galileo should walk x meters on 15 degree inclined plane, and then he will get the 150 meter altitude and he could perform his experiments with the balls.

Now, using trigonometry, we know

`sin (angle) = (opposite)/(hypotenuse)`

Means

`sin(15)=(150)/(x)`

Plugging the value of sin 15

`0.2588=(150)/(x)`

Hence,

`x = (150)/(0.2588)=579.56`

So, Galileo must walk up 579.56 meters on inclined plane. : Answer