Question

What is the length of the x-component of the vector shown below?

A. 5.6

B. 6.1

C. 13.9

D. 15

Answer 1

13.9 is right i got it right for the test for A P E X

Answer 2

The x-component is
`13.9`

Explanation:

We can use the cosine ratio to find the x-component of the given vector.

Recall that,

`\cos\theta=(Adjacent)/(hypotenuse)`

In our case the adjacent is the x-component and the hypotenuse is the magnitude of the vector which is 15 units.

This implies that,

`\cos22\degree=(x)/(15)`

We solve for x to get,

`x=15\cos22\degree`

This implies that,

`x=15(0.92718)`

`\therefore x=13.9` units

The correct answer is C