Answer:
10) - 45 degrees
12) 0 degrees
Step-by-step explanation:
10)
Find the x and y components that define the vector that joins C with D:
x-component: -4 - (-8) = - 4 + 8 = 4
y-component: 4 - 8 = -4
use the tangent function to find the angle [tex]\theta[/tex]:
[tex]tan(\theta)=\frac{y-comp}{x-comp}=\frac{-4}{4} = -1\\\theta = -45^o[/tex]
12)
Find the x and y components that define the vector that joins A with B:
x-component: 7 - 4 = 3
y-component: - 1 - (-1) = -1 + 1 = 0
use the tangent function to find the angle [tex]\theta[/tex]:
[tex]tan(\theta)=\frac{y-comp}{x-comp}=\frac{0}{3} = 0\\\theta = 0^o[/tex]
