vector g is 40.3m long in a -35 direction. vector h is 63.3 m long in a 270 direction. find the direction of their vector sum

The direction of their vector sum is 92.51.How do you determine the vector addition's direction?Finding the angle that the resultant creates with either the north-south or the east-west vector will reveal the direction of the resultant. The resultant makes an angle with west at a value of theta.Thus, the length of the first vector G in a -35 degree direction is 40.3 m.Let's locate the elements of G.[tex]G_{x}[/tex] = 40.3 cos (-35) = 33.018[tex]G_{y}[/tex] = 40.3 sin(-35) = -23.1151The length of the second vector, H, is 63.3 m in the direction of 270.[tex]H_{x}[/tex] = 63.3 cos(270) = 0[tex]H_{y}[/tex] = 63.3 sin(270) = -63.3The corresponding components can be combined to find the resultant vector:[tex]R_{x} = G_{x}+H_{x}[/tex] = 33.018+0 = 33.018[tex]R_{y} = G_{y} +H_{y}[/tex] = -23.1151+(- 63.3) = -86.4151.To find the magnitude of ([tex]R_{x}, R_{y}[/tex])  which is given by the formula [tex]\sqrt{R^{2} _{x} +R^{2} _{y} }[/tex][tex]\sqrt{33.018+ (-86.4151)}[/tex] = [tex]\sqrt{8557.34844}[/tex] = 92.51.To know more about vector addition's direction visit:https://brainly.com/question/12979718#SPJ4