A delivery truck travels 19 blocks north, 14 blocks west and 15 blocks south. What is its final displacement from the origin?

whats the degrees???

tan angle above negative x axis = 4/14

so angle = 16 degrees North of west
or 268 compass (clockwise from North)

To find the final displacement from the origin, we can consider the delivery truck's movements as vector quantities. We need to determine the total distance traveled in the north-south direction and the west-east direction.

First, we calculate the net north-south displacement. The truck travels 19 blocks north and then 15 blocks south. Since north and south are opposite directions, we need to subtract the southward displacement from the northward displacement: 19 - 15 = 4 blocks north.

Next, we calculate the net west-east displacement. The truck travels 14 blocks west, which is opposite to the east direction. So, the west-east displacement is -14 blocks.

To find the final displacement, we combine the north-south and west-east displacements using vector addition. In this case, adding a positive displacement of 4 blocks north and a negative displacement of 14 blocks west gives us a displacement of 4 blocks north and 14 blocks west.

To calculate the degree of the displacement, we can use trigonometry. The degree is determined by the angle formed between the displacement vector and the positive x-axis (east). We can use the inverse tangent (arctan) function to find this angle.

The angle can be found using the formula: angle = arctan(opposite/adjacent). In this case, the opposite side is 4 blocks (north) and the adjacent side is 14 blocks (west). Therefore, we calculate: angle = arctan(4/14).

Using a calculator or a trigonometry table, we find that the angle is approximately 16.70 degrees.

So, the final displacement from the origin is 4 blocks north and 14 blocks west, and the degree of the displacement is approximately 16.70 degrees.