Answer:
To find the bearing of point C from point A, we can use the concept of triangle geometry. Since point B is 30 meters north of point A, we can draw a line from point A to point B. Then, since point C is 30-√3 meters east of point B, we can draw a line from point B to point C.
Now, let's use our trusty calculator to find the bearing of point C from point A. We can use the tan function to find the tan of the angle between the line AB and the line BC.
tan(angle) = opposite side / adjacent side
In this case, the opposite side is 30-√3 meters, and the adjacent side is 30 meters. So, we can plug these values into our calculator and get:
tan(angle) = 30-√3 / 30
Now, we can simplify this expression and get:
tan(angle) = 1 / √3
Finally, we can use our calculator to find the angle between the line AB and the line BC. We can use the arctan function to do this:
angle = arctan(1 / √3)
So, the bearing of point C from point A is:
Bearing of C from A: 60° (or π/3 radians)
Explanation: