Three forces with magnitudes of 66 pounds, 110 pounds, and 138 pounds act on an object at angles of 30°, 45°, and 120° respectively, with the positive x-axis. find the direction and magnitude of the resultant force. (round your answers to one decimal place.)

Explanation:

We just need to sum the forces, we can do this easily in their Cartesian form.

Knowing the magnitude and angle with the positive x axis, we can find Cartesian representation of the vectors using the formula

where its the magnitude of the vector and θ the angle with the positive x axis.

So, for our forces we got:

this will give us:

Now, we just sum the forces:

This is the net force, to obtain the magnitude, we just need to find the length of the vector, using the Pythagorean formula:

To obtain the angle with the positive x-axis we can use the formula:

So, the answer its

Rounding up:

c) power lifting, will be your answer.

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