Question

Please tell me if you can not see it good and I will resend

Answer 1

A)

x. 83 units , y: 16 units

Step-by-step 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

`\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}`

Step 2

b) x-component

`\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}`

therefore the answer is

x. 83 units , y: 16 units

I hope this helps you