What Is The resultant Vector? Please help me! I need this answered today, please!

Question

Two vectors act on a point as shown below. What is the resultant vector? (Carry 3 decimal places throughout calculations and round off to 2 decimal places at end.)

^ |

\ 7 |

\ |

30° \ |

—————————

|

| 3

V

|

|

(A) 4.00 ∠ 210.00°

(B) 3.95 ∠ 159.57°

(C) 6.08 ∠ 175.29°

(D) 7.62 ∠ 203.20°

(E) None of these

I had gotten (E) but got it wrong. Can someone please help me understand what I did wrong?

Also, this was kind of hard to do, I couldn’t find a way to ask the question. So, I “drew” what it looked like. Also, I understand if you have no idea what this is. The bold lines and v's are supposed to be arrows.

Answer 1

x direction:

7cos(150)=-6.06

y direction:

7sin(150)+3sin(270)=.5

To find the magnitude:

√(-6.06)²+(0.5)² = 6.08

tan x = .5/-6.06 take the arctan of both sides

x = 4.71

Since this angle is in the second quadrant, based on the coordinates, it would be 180-4.71 = 175.28

(C) 6.08 ∠ 175.29°