A)
x. 83 units , y: 16 units
Explanation
to find the componens x and y of any vector, we need to handle as a grith triangle
let
where
opposite side: y-component
adjancent side : x-component
hypotenuse: magnitude
so, we have
Step 1
a) y-component
[tex]\begin{gathered} \sin \text{ }\alpha=\frac{opposite\text{ side}}{\text{hypotenuse}} \\ \text{isolate opposite side} \\ \text{opposite side=hypotenuse}\cdot\sin \text{ }\alpha \\ so \\ y-\text{component}=\text{ }85\text{ sin (11)} \\ y-\text{component}=16.21 \\ \text{rounded} \\ y-\text{component}=16 \end{gathered}[/tex]
Step 2
b) x-component
[tex]\begin{gathered} \cos \text{ }\alpha=\frac{adjacents\text{ side}}{\text{hypotenuse}} \\ \text{isolate adjacent side} \\ \text{adjacent side=hypotenuse}\cdot\cos \text{ }\alpha \\ so \\ x-\text{component}=\text{ }85\text{ cos (11)} \\ x-\text{component}=83.43 \\ \text{rounded} \\ x-\text{component}=83 \end{gathered}[/tex]
therefore the answer is
x. 83 units , y: 16 units
I hope this helps you
