You place a box weighing 249.2 N on an inclined plane that makes a 44.2 ◦
angle with the
horizontal.
Compute the component of the gravitational force acting down the inclined plane.
Answer in units of N.

135.07N

Explanation:

In these cases it is useful to make a diagram like the one shown in the attached image. Where the weight of the box  is shown, and the horizontal component  and vertical component .

To find the gravitational force acting down the inclined plane we need to find the x-component of the weight of the box .

Since  is the opposite side of the angle , we use sine to find it:

and we know that the weight is:

and the angle is:

so = 135.07N