Convert the Bearing direction S 30 13’ 48" W into decimal Azimuth format (write only a numeric answer with 2 decimals and no units)
Question
Convert the Bearing direction S 30 13’ 48" W into decimal Azimuth format (write only a numeric answer with 2 decimals and no units)
Solution
To convert the bearing direction S 30° 13' 48" W into decimal azimuth format, follow these steps:
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Convert the degrees, minutes, and seconds into decimal degrees.
- Degrees remain the same, which is 30.
- Convert the minutes into decimal by dividing by 60. So, 13/60 = 0.2167.
- Convert the seconds into decimal by dividing by 3600. So, 48/3600 = 0.0133.
- Add these three values together: 30 + 0.2167 + 0.0133 = 30.23°.
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Since the bearing is South and West, this falls into the third quadrant where the formula for azimuth is 180° + degree. So, 180° + 30.23° = 210.23°.
So, the bearing direction S 30° 13' 48" W in decimal azimuth format is 210.23.
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