Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100° respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

39.05 pounds at

Explanation:

To find the resultant force, we need to decompose each vector along the x- and y- directions. Let's do it:

Vector 1:

Vector 2:

Resultant components:

So the magnitude of the resultant is

And the direction is

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