Question

required information
four vectors are shown below, where l = 8.00.
find the y - component of the vector \\(\vec{c}\\).
\\(\square\\) m

Explanation:

Step1: Identify angle for y-component

The vector $\vec{C}$ makes a $20.0^\circ$ angle with the positive y-axis, pointing in the positive y direction for its y-component.

Step2: Calculate y-component

Use the cosine of the angle to find the adjacent (y) component, with magnitude $l=8.00$ m.
$C_y = l\cos(20.0^\circ) = 8.00 \times \cos(20.0^\circ)$
Calculate $\cos(20.0^\circ) \approx 0.9397$, so $C_y \approx 8.00 \times 0.9397 = 7.5176$

Answer:

7.52 m