Find the direction of the vector in standard position with end point (3, 11). Round to the nearest hundredth.
A)15.83°
B)15.26°
C)74.17°
D)74.74°

Question

Quizplus · Accepted Answer

We first find the magnitude of the vector using the Pythagorean theorem: $\sqrt{3^2+11^2}= \sqrt{130} \approx 11.40.$
Then, we use trigonometric functions to find the angle. $	heta=\arctan\left(\frac{11}{3}ight) \approx 74.74^\circ.$ So the answer is D.

Find the Direction of the Vector in Standard Position with End