Question

what is the length of the x - component of the vector shown below? a. 15 b. 6.1 c. 5.6 d. 13.9

Explanation:

Step1: Recall x-component formula

The x-component of a vector is calculated using $\text{Vector Length} \times \cos(\text{Angle})$.

Step2: Substitute given values

The vector length is 15, angle is $22^\circ$.
$\text{x-component} = 15 \times \cos(22^\circ)$

Step3: Calculate the value

Using $\cos(22^\circ) \approx 0.9272$, we get:
$15 \times 0.9272 \approx 13.9$

Answer:

D. 13.9