Question

a vector has a magnitude of 50 and a direction of $35^\circ$. what are its horizontal and vertical components?
(?, )
round to the nearest hundredth.

Explanation:

Step1: Calculate horizontal component

Use $v_x = |v|\cos(\theta)$
$\theta = 35^\circ$, $|v|=50$
$v_x = 50\cos(35^\circ)$
$v_x \approx 50\times0.8192 = 40.96$

Step2: Calculate vertical component

Use $v_y = |v|\sin(\theta)$
$v_y = 50\sin(35^\circ)$
$v_y \approx 50\times0.5736 = 28.68$

Answer:

$(40.96, 28.68)$