Question

question 15 of 25 what is the length of the x - component of the vector shown below? 112 36° a. 65.8 b. 33.2 c. 90.6 d. 112

Explanation:

Step1: Recall vector - component formula

The formula for the x - component of a vector $\vec{v}$ with magnitude $v$ and angle $\theta$ with the x - axis is $v_x = v\cos\theta$.

Step2: Identify values

Here, $v = 112$ and $\theta=36^{\circ}$.

Step3: Calculate the x - component

$v_x=112\times\cos(36^{\circ})$. Using a calculator, $\cos(36^{\circ})\approx0.809$, so $v_x = 112\times0.809 = 90.608\approx90.6$.

Answer:

C. 90.6