Convert a forward azimuth of 98°-36′-08” to its equivalent forward bearing S 98°- [Free]
Convert a forward azimuth of 98°-36′-08” to its equivalent forward bearing S 98°-36′-08”E S08°-36′-08”W S 81°-23′-52” E N261°-23′-52”W
![Convert a forward azimuth of 98°-36'-08'' to its equivalent forward bearing S 98°- [Free] B90](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20377%20117'%3E%3C/svg%3E)
Convert Forward Azimuth to Bearing
Question:
Convert a forward azimuth of 98° 36′ 08″ to its equivalent forward bearing.
Answer:
A forward azimuth is measured clockwise from due north (0°) all the way to 360°. A bearing, on the other hand, is measured from the north or south axis toward the east or west, depending on the quadrant in which the azimuth lies.
Step 1: Determine the Quadrant
Since the azimuth is greater than 90° but less than 180°, it lies in the SE quadrant.
In the SE quadrant, the equivalent bearing is given by the formula:
Bearing = S (180° – Azimuth) E
Step 2: Subtract the Azimuth from 180°
To subtract 98° 36′ 08″ from 180°, write 180° as:
179° 60′ 00″
- Borrow 1° to convert 180° into 179° and 60′
- Now subtract seconds: 60″ − 08″ = 52″
- Then subtract minutes: 60′ − 36′ = 24′
- Finally, subtract degrees: 179° − 98° = 81°
Final Answer:
Bearing = S 81° 23′ 52″ E
Summary:
To convert an azimuth of 98° 36′ 08″:
- Recognize it’s in the SE quadrant (between 90° and 180°)
- Apply the formula: S (180° − Azimuth) E
- Subtract using angle arithmetic to get: 81° 23′ 52″
- Write the result: S 81° 23′ 52″ E