A delivery truck travels 19 blocks south, 25 blocks east and 24 blocks north. What is its final displacement from the origin? Assume the blocks are equal length.

Magnitude
?blocks
Direction
?(counterclockwise from east is positive)

I got the displacement with no problem (about 25.3 blocks), but for the degree i get 9 which is incorrect.

To find the final displacement from the origin, we need to calculate the net displacement in terms of both magnitude and direction.

First, let's break down the truck's movements into components along the x-axis (east-west) and the y-axis (north-south).

Given:
South: 19 blocks
East: 25 blocks
North: 24 blocks

Along the y-axis:
The truck moved 19 blocks south and then 24 blocks north. Since the movements are in opposite directions, we subtract the smaller value from the larger value.
Net displacement along the y-axis = 24 - 19 = 5 blocks north

Along the x-axis:
The truck moved 25 blocks east, which is its final displacement along the x-axis.

Now, we can find the magnitude of the final displacement using the Pythagorean theorem:
Magnitude = √((Net displacement along the x-axis)^2 + (Net displacement along the y-axis)^2)
Magnitude = √((25)^2 + (5)^2)
Magnitude = √(625 + 25)
Magnitude = √650
Magnitude ≈ 25.5 blocks

To find the direction counterclockwise from east, we can use the inverse tangent (arctan) function:
Direction = arctan(Net displacement along the y-axis / Net displacement along the x-axis)
Direction = arctan(5 / 25)
Direction ≈ arctan(0.2)

Using a calculator, we can find the arctan(0.2) ≈ 11.31 degrees.

Therefore, the final displacement from the origin is approximately 25.5 blocks with a direction of approximately 11.31 degrees counterclockwise from east.