Question

Can someone please explain to me in detail on how to solve this
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.

Answer 1

add the parts ....

Answer 2

150 cos (30) X + 150 sin(30) Y
75 cos(150) X + 75 sin(150) Y
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add that parts to define the
resultant vector

Answer 3

the direction of your (X,Y) resultant is determined by arctan(Y/X), just might have to tweek it to fit a certain quadrant

and its length is the squareroot of (X^2+Y^2)

Answer 4

wait why are you doing 150 cos30x+150 sin30y

Answer 5

@amistre64 is doing cos and sin because you are working with vectors. A vector, some degree from the axis, can be looked as as a resultant of an 'x' and a 'y' component. Using your understanding of trig, the Pythagorean theorem, and right triangles, you can calculate the components.