Answer:
11.2 N, 63.4 degrees up of west
Explanation:
The two forces (upward, 10 N, and westward, 5 N) are acting perpendicular to each other. This means that we can find the magnitude of the resultant force by using Pythagorean's theorem:
[tex]R=\sqrt{(10 N)^2+(5 N)^2}=11.2 N[/tex]
The direction of the resultant force instead is given by
[tex]tan \theta = \frac{F_{upward}}{F_{westward}}=\frac{10 N}{5 N}=2\\\theta = tan^{-1}(2)=63.4^{\circ}[/tex]
with the angle measured with respect the west direction.
