Question

Convert the angle 30 hours 37 minutes and 11 seconds to decimal degrees. A) Approximately 450.676 degrees B) Approximately 459.300 degrees C) Approximately 470.025 degrees D) Approximately 487.921 degrees

Answer 1

To convert the angle 30 hours 37 minutes and 11 seconds to decimal degrees, we need to convert the hours, minutes, and seconds to degrees. Adding all the converted values together, we get approximately 450.620 degrees.

The correct answer is A.

Step-by-step explanation:

To convert the angle 30 hours 37 minutes and 11 seconds to decimal degrees, we need to first convert the hours, minutes, and seconds to degrees. Since there are 360 degrees in a full revolution, we can start by converting the 30 hours to degrees. 30 hours multiplied by 15 degrees per hour gives us 450 degrees.

Next, we convert the 37 minutes and 11 seconds to degrees. There are 60 minutes in a degree, so we divide 37 by 60 to get approximately 0.617 degrees. Similarly, there are 3,600 seconds in a degree, so we divide 11 by 3,600 to get approximately 0.003 degrees.

Adding all the converted values together, we get 450 degrees + 0.617 degrees + 0.003 degrees = approximately 450.620 degrees. Therefore, the correct answer is A) Approximately 450.676 degrees.