Answer:
34.5 m at 55.5 degrees above the positive x-axis
Explanation:
Resolving a vector means finding its components along two perpendicular axis: most commonly, they are chosen as the x and y axis.
In this problem, we have a vector whose components are:
x -component: 19.5 m
y- component: 28.4 m
The two components are perpendicular to each other: this means that we can find the magnitude of the vector by using the Pythagorean theorem
[tex]v=\sqrt{v_x^2+v_y^2}=\sqrt{19.5^2+28.4^2}=34.5 m[/tex]
The direction, instead, can be found by using the following formula:
[tex]\theta=tan^{-1}(\frac{v_y}{v_x})=tan^{-1} (\frac{28.4}{19.5})=55.5^{\circ}[/tex]
