Find the components of 82 N∠139°.

a.(-61.9 N, 53.8 N)

b.(53.8 N, 61.9 N)

c.(-53.8 N, 61.9 N)

d.(61.9 N, 53.8 N)

### 1 Answer | Add Yours

The force is 82 N.

The direction is with a angle of 139 deg.

Let us assume that the angle is measured from the x-axis to the counter clockwise direction. Then the force is having an angle 49 deg to the anti clock wise direction of y axis.

Then the force is at the second quarter of the x-y plane that y is positive and x is negative.

The component of force to y direction = 82 cos 49 = 53.8 N

The component of force to -x direction = 82 sin 49 = 61.9 N

**So the answer is (-61.9,53.8). The correct answer is (a)**

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