Question

Logan pushes a box with a 400n of force with a direction angle of 30 degrees, while Andrew pushes the same box with a force of 250N with a direction angle of 290 degrees.which of the following can be used to determine the direction angle of the resultant vector (force) on the box?

Answer 1

We will have the following:

We will have that the expression that will give as solution the approximate angle is:

$\theta=tan^{-1}(\frac{-35}{342})$

[First option].

***Explanation***

We know that the final vector will have two components, one on x and one on y.

Now, we know that the x-component is:

$\sum F_x=400cos(30)+250cos(70)\approx432$

And we know that the y-component is:

$\sum$