Answer:
-17 degrees
Step-by-step explanation:
consider your starting point the center of a circle.
the radius of that circle is the 50 meters you went right.
then the 15 meters down are tan(displacement angle)
×50.
as it does not matter, if your first went right and then down or the other way around. you will end up at the same point.
so,
15 = 50×tan(angle)
tan(angle) = 15/50 = 3/10 = 0.3
the angle is then about 17 degrees.
and since you went down, the displacement angle is -17 degrees.