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.

Question

amistre64 · Answer

adding vectors is simple enough, you add the like components ...

amistre64 · Answer

u = <150cos(30),150sin(30)> v = < 75cos(150), 75sin(150)> --------------------------

amistre64 · Answer

this addition will define a point, and the vector from the origin to the point is the resultant vector we need to define

anonymous · Answer

wait so if we add down isn't it just <225,225>

amistre64 · Answer

i think your ignoreint the trigs

anonymous · Answer

oh sorry i honestly didn't see those aha give me a sec

anonymous · Answer

when you set it up how do you know which is cos and which is sin

anonymous · Answer

but i got 75.58152797 and -201.8204758

amistre64 · Answer

cosine is a relationship in a right triangle that goes along with an x component,  and sine is the y component

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as such each vector is actually the sum of its component parts