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Physics 23 Online
OpenStudy (anonymous):

OpenStudy (fretje):

find the vector components for orthogonal axes x and y, then add x resp y components for x) 440m . cos 50° + 580m . cos 185° = 282,83 - 577,79 = -294,96 m for y) 440m . sin 50° + 580m . sin 185° = 286,51m now Pythagoras rule A² = B² + C² \[A = \sqrt{\left( B² + C² \right)} = 411,21m\] and inverted tangent \[\theta = \tan^{-1} \frac{y}{x} = \tan^{-1} \frac{286,51m}{-294,96m} = -44,2 degrees + n.180°\] As the direction is in second quadrant, i add 180° to the angle: -44,2°+180° = 135,8°

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