Vector v has the given magnitude and direction. Find the horizontal or vertical component of v, as indicated, if $\theta$ is the
direction angle of v from the horizontal. Round to the nearest tenth when necessary.
-$\alpha = 28.6 ^ { \circ } , | \mathbf { v } | = 411 ;$ Find the vertical component of $\mathbf { v }$
A) $164.2$
B) $196.7$
C) $360.9$
D) $557.6$

Question

Quizplus · Accepted Answer

The vertical component of a vector can be found using the formula $v_y = |v| \sin(\theta)$, where $|v|$ is the magnitude of the vector and $\theta$ is the angle it makes with the horizontal. Plugging in the given values, $v_y = 411 \sin(28.6^\circ) \approx 196.7$.

Vector V Has the Given Magnitude and Direction θ\thetaθ Is the Direction Angle of V from the Horizontal

Vector V Has the Given Magnitude and Direction $\theta$ Is the
Direction Angle of V from the Horizontal