Question

Help with vectors?

Find both the x and y components of the vector below.

Answer 1

10 m and 17.3 m

Step-by-step explanation:

We can notice that the vector B represents the hypothenuse of a right triangle, in which the x-component of the vector is the side opposite to the
`30^(\circ)` angle, while the y-component of the vector corresponds to the side adjacent to the
`30^(\circ)` angle. This means that we can find the two components of the vector by using the sine and cosine function as follows:

`B_x = B sin 30^(\circ) = (20 m) sin 30^(\circ)=10 m`

`B_y = B cos 30^(\circ) = (20 m) cos 30^(\circ)=17.3 m`