Question

Vector v has a direction of (5,3) find the direction angle for v to the nearest degree

Answer 1

Answer:

$31^{\circ}$

Step-by-step explanation:

We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.

We know that direction of vector with components $(a,b)$ can be determined by $\theta=\text{tan}^{-1}(\frac{b}{a})$.

Upon substituting the components of given vector in above formula, we will get:

$\theta=\text{tan}^{-1}(\frac{3}{5})$

$\theta=30.9637565^{\circ}$

Upon rounding to nearest degree, we will get:

$\theta\approx 31^{\circ}$

Therefore, the direction angle for vector v is 31 degrees.