Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. find the direction and magnitude of the resultant force. round to two decimal places in all intermediate steps and in your final answer.

Magnitude= 129.55N

Direction= 60°

Step-by-step explanation:

In order to find the magnitude, we must find the magnitude in both vertical and horizontal direction.

In horizontal direction:

F(x) =150cos30°+ 75cos150°

In vertical direction:

F(x) = 150sin30°+75sin150°

Thus, magnitude is given by: Direction of the force is  

α=60°

Hope this helped :)

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step-by-step explanation: