Question

SOCCER Alice kicks a soccer ball towards a wall. The ball is deflected off the wall at an angle of 40°,

and it travels 6 meters. How far is the soccer ball from the wall when it stops rolling?

Answer 1

The ball is 3.86 meters from the wall when it stops rolling.

Explanation:

Representation of the situation:

This situation can be represented by a right triangle:

The hypotenuse is the distance the ball traveled, of 6 meters.

The distance from the wall is the side opposite to the angle of 40º.

We have that:

Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.

Sine of 40 degrees = Distance from the wall/6

Sine of 40 degrees is of 0.64278760968.

Distance = 6*0.64278760968 = 3.86.

The ball is 3.86 meters from the wall when it stops rolling.