(ideas or hints) A basketball player runs down the court, following the path indicated by?

Question

A basketball player runs down the court, following the path indicated by the vectors A, B, and C in Figure 3-38. The magnitudes of these three vectors are: A = 8.0 m, B = 17.0 m, and C = 7.0 m. Let the +x axis point to the right and the +y axis point to the far side of the court.

The arrow is pointing downward on the line to the left and it equals 8m. The arrow in the middle is pointing upward and it equals 17m. The arrow at the right is pointing down and to the right and it equals 7m.

l / l
l / l

Conect the lines and it almost looks like an s turned sideways. The angle of the slanted line is 45 degrees and the straight line to the right is 30 degrees.

Answer 1

And the question is?
Let's guess that it's "what is the player's displacement from the starting point to the end point?"
The givens are 8 m down, 17 m up/right 45 deg, but the 7 m down/right is 30 deg from what? Hor. or vert.?
No matter, here's how to do it yourself.
Total x distance = 0 + 17*cos(45 deg) + 7*cos(theta), where theta is the absolute value of angle the last line makes to the horizontal.
Total y distance = -8 + 17*sin(45 deg) - 7*sin(theta).