Answer: R = 38.7
Step-by-step explanation:
The diagram of the vectors is shown below
To find the resultant, R, we would apply the pythagorean theorem which states that
hypotenuse^2 = one leg^2 + other leg^2
From the diagram,
hypotenuse = R
One leg = 17.3
other leg = 34.8
Thus,
R^2 = 17.3^2 + 34.8^2 = 299.28 + 1211.04 = 1501.32
R = √1501.32
R = 38.7
To find the direction, we would find θ by applying the tangent trigonometric ratio which is expressed as
tanθ = opposite side/adjacent side
adjacent = 17.3
opposite side = 34.8
tan θ = 34.8/17.3 = 2.01156
Taking the tan inverse of 2.01156,
θ = tan^-1(2.01156)
θ = 63.6
The direction is 63.6 degrees