Question

The direction of a river's current is given by the vector (3 E,6 N) What isits direction in degrees, measured from due east, to the nearest tenth ofa degree?

Answer 1

We graph the vector

yellow angles is the missing

to calculate we can use a triangle

and Tangent

$\tan (\alpha)=\frac{O}{A}$

where alpha is the reference angle, O the opposite side from the reference angle and A the adjacent side of the angle different to hypotenuse

then using a as reference angle we replace

$\begin{gathered} \tan (a)=\frac{6}{3} \\ \\ \tan (a)=2 \end{gathered}$

and solve for a to find the measure of the angle

$a=\tan ^{-1}(2)$$a\approx63.4$

then right option is Third