A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat? N 30° E E 30° S E 30° N N 30° W

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let , where is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (), measured in sexagesimal degrees, is determined by trigonometrical means:

(1)

If we know that and , then the directional bearing of the boat is:

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).