Well, let's start by representing the information into a diagram.
Assume that P is the starting point, Q is located 150 degrees to the right of the North direction, and R is located 15 degrees to the left of the North direction.
R(32km)
|
|
|\
015| \ 150
| \
| \
| \
|-----P(24km)
Q(24km)
Now, to calculate the distance between Q and R, we can use the Pythagorean theorem since we have a right triangle. The distance between Q and R will be the hypotenuse of the triangle formed by P, Q, and R.
Using the Pythagorean theorem, we can calculate the distance between Q and R:
Distance^2 = (Distance between Q and P)^2 + (Distance between R and P)^2
Distance^2 = (24km)^2 + (32km)^2
Distance^2 = 576km^2 + 1024km^2
Distance^2 = 1600km^2
Distance = √1600km^2
Distance = 40km
So, the distance between Q and R is 40km.
Now, let's find the bearing of R from Q. Since we know that Q is 150 degrees to the right of the North direction, we can subtract 150 degrees from it to find the bearing of R from Q.
Bearing of R from Q = Bearing of Q from North - Angle QPR
Bearing of R from Q = 150 degrees - 15 degrees
Bearing of R from Q = 135 degrees
Therefore, the bearing of R from Q is 135 degrees.