Answer:
Step-by-step 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
[tex]sin (angle) = \frac{opposite}{hypotenuse}[/tex]
Means
[tex]sin(15)=\frac{150}{x}[/tex]
Plugging the value of sin 15
[tex]0.2588=\frac{150}{x}[/tex]
Hence,
[tex]x = \frac{150}{0.2588}=579.56[/tex]
So, Galileo must walk up 579.56 meters on inclined plane. : Answer
Answer: 579.6 ft
Step-by-step explanation:
Given: 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.
Let x be the distance Galileo should walk.
Then, by trigonometry
[tex]\sin15^{\circ}=\frac{\text{side opposite to angle}}{\text{hypotenuse}}\\\Rightarrow\ 0.2588=\frac{150}{x}\\\Rightarrow\ x=\frac{150}{0.2588}=579.5981\approx579.6\ ft[/tex]
The distance Galileo should walk = 579.6 ft
