A girl start at A And walks 2km south to B she then walks 3km west to c find the distance and bearing of from A. I need the work I

Answer 1

To find the distance and bearing from point A to point C, we can use trigonometry and Pythagorean theorem.

First, calculate the distance from point A to point C using Pythagorean theorem:

AC^2 = AB^2 + BC^2
AC^2 = (2km)^2 + (3km)^2
AC^2 = 4km^2 + 9km^2
AC^2 = 13km^2
AC = sqrt(13) km
AC ≈ 3.61 km

Next, calculate the bearing from point A to point C using trigonometry:

tan(bearing) = opposite / adjacent
tan(bearing) = 3 km / 2 km
bearing = arctan(3/2)
bearing ≈ 56.31 degrees

Therefore, the distance from point A to point C is approximately 3.61 km and the bearing from point A to point C is approximately 56.31 degrees.