Answer:
r = 5.696 and θ = 157.17°.
Step-by-step explanation:
the point is (-5.25,-2.21). The distance from the point to the origin is calculated with the formula
[tex]r = \sqrt{x^{2}+y^{2}} = \sqrt{(-5.25)^{2}+(-2.21)^{2}} = \sqrt{27.56+4.88} = \sqrt{32.44}[/tex]
r = 5.696 m.
I drew the point and the distances in the plane. to find te angle we can use the sin formula:
sin(θ) = [tex]\frac{2.21}{r} = \frac{2.21}{5.696} = 0.388[/tex]
θ = [tex]sin^{-1}(0.388)= 22.83[/tex].
within the range of -180° and 180° the angle will be θ = 180-22.83 = -157.17°
