Question

required information
four vectors are shown below, where ( l = 8.00 ).

find the ( y )-component of the vector ( vec{a} ) shown in the drawing.

(square) m

Explanation:

Step1: Identify formula for y-component

The y-component of a vector $\vec{A}$ with magnitude $l$ and angle $\theta$ from the x-axis is $A_y = l\sin\theta$.

Step2: Substitute given values

Here, $l=8.00$ and $\theta=20.0^\circ$.
$A_y = 8.00 \times \sin(20.0^\circ)$
Calculate $\sin(20.0^\circ) \approx 0.3420$, so:
$A_y = 8.00 \times 0.3420 = 2.736$

Answer:

2.74 m (rounded to three significant figures)