Question

Find the x and y components of Vector M, shown

Answer 1

`\begin{gathered} x-\text{component}=6.26 \\ \text{y-component=8.30} \end{gathered}`

Step-by-step explanation

Step 1

when you have a vector, you have a rigth triangle formed by, the vector, the x-axis and the vertical line

where

hypotenuse=5

angle=37 degrees

x-component=adjacent side

y-component= opposite side

Step 2

`\begin{gathered} \cos \text{ }\alpha=\frac{hyp}{\text{adjacent side}} \\ \text{adjacent side=}\frac{hypotenuse}{\cos\text{ }\alpha} \\ \text{adjacents side=}\frac{5}{\cos\text{ 37}}=6.26 \\ x-\text{component}=6.26 \end{gathered}`

Step 3

`\begin{gathered} \sin \text{ }\alpha=\frac{hyp}{\text{opposite side}} \\ \\ \text{opposite side=}\frac{hyp}{\sin \text{ }\alpha} \\ \text{opposite side=}\frac{5}{\sin \text{ 37}} \\ \text{opposite side=y-component=8.30} \\ \text{y-component=8.30} \end{gathered}`

I hope this helps you