Question

Vector component practice

Given Ax = 3.5 and Ay = 5.7,

what is the angle of inclination for the resultant vector?

A. 58.47 degrees
B. 1.63 degrees
C. 31.55 degrees
D. 27.35 degrees

Answer 1

Answer:

Option (C)

Explanation:

Vector A has two components,

Ax = 3.5 and Ay = 5.7

Therefore, from the figure attached,

From triangle ABC,

BC represents the vertical component and AC represents the horizontal component of vector A.

For the angle of inclination,

tanθ = $\frac{\text{Vertical component}}{\text{Horizontal component}}$

       = $\frac{3.5}{5.7}$

θ = $\text{tan}^{-1}(\frac{35}{57})$

θ = 31.55 degrees

Therefore, Option (C) will be the correct option.