The direction of Beatriz relative to the <em>starting</em> point of her trip is approximately
.
<h3>How to find the position of Beatriz relative to the starting point of her trip</h3>
After a careful reading of the statement, we find that <em>final</em> position (
) by the end of the second day is found by means of this vector sum:
(1)
Where:
- Vector distance of the first day relative to starting point, in kilometers.
- Vector distance of the second day relative to the final point of
, in kilometers.
If we know that
and
, then final position of Beatriz relative to origin is:

![\vec r = (48.670, -314.159)\,[km]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%20%2848.670%2C%20-314.159%29%5C%2C%5Bkm%5D)
And the direction <em>relative to</em> the <em>starting</em> point (
), in degrees, is found by following inverse <em>trigonometric</em> relation:
(2)
If we know that
and
, then the direction of Beatriz relative to the starting point of her trip is:


The direction of Beatriz relative to the <em>starting</em> point of her trip is approximately
. 
To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479