The straight line distance from A to B is calculated to be 3.76 km
How to find the straight line distance
The straight line distance is calculated using trigonometry as follows
According to the problem, we can deduce the following data
- The horizontal distance from A to B is 3 km
- The angle between the straight line distance and the horizontal distance is 90 - 53 = 37
Applying trigonometry
cos 37 = (horizontal distance from A to B) / (straight line distance)
cos 37 = 3 / straight line distance
straight line distance = 3 / cos 37
straight line distance = 3.7564 km
straight line distance = 3.76 km to 3 SF