This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Interpret the given bearing. The bearing is given as N45° 30' 25" W. This is a quadrantal bearing. It indicates that the line is in the Northwest quadrant, meaning the angle is measured 45 degrees, 30 minutes, and 25 seconds from the North meridian towards the West. Step 2: Convert to Whole Circle Bearing (WCB). Whole Circle Bearing (WCB) is measured clockwise from the North meridian, ranging from 0° to 360°. For a line in the Northwest quadrant (N W), the WCB is calculated as 360^ - . In this case, = 45^ 30' 25''. WCB = 360^ - 45^ 30' 25'' To perform the subtraction, we can rewrite 360^ as 359^ 59' 60'': WCB &= 359^ 59' 60'' - 45^ 30' 25'' \\ &= (359 - 45)^ (59 - 30)' (60 - 25)'' \\ &= 314^ 29' 35'' The equivalent whole circle bearing of the line is: 314^ 29' 35''