Question

find the westward component of a resultant vector 55.30 meters, 23° w of n. show your units using just the first letter of the unit. the direction of the vector is established as west so do not use + or - in the math of this problem.

Explanation:

Step1: Recall vector - component formula

The formula for the west - ward component of a vector $\vec{R}$ with magnitude $R$ and angle $\theta$ measured from the north is $R_x = R\sin\theta$. Here, $R = 55.30$ m and $\theta=23^{\circ}$.

Step2: Calculate the west - ward component

Substitute the values into the formula: $R_x=55.30\times\sin(23^{\circ})$.
We know that $\sin(23^{\circ})\approx0.3907$. So, $R_x = 55.30\times0.3907\approx21.6$ m.

Answer:

21.6 m