Answer :
Final answer:
To convert 150.55 degrees to hours and minutes, we set up a proportion and solve for the equivalent number of hours. The result is approximately 10.06 hours, which is equal to 10 hours and 3.6 minutes.
Explanation:
To express 150.55 degrees in hours and minutes, we need to convert the degrees to hours. Since there are 360 degrees in a circle and 24 hours in a day, we can set up a proportion to solve for the equivalent number of hours. 360 degrees / 24 hours = 150.55 degrees / x hours
Cross multiplying, we have 360x = 24 * 150.55. Dividing both sides by 360, we get x = (24 * 150.55) / 360. Solving this equation, we find that x is approximately 10.06 hours.
Since there are 60 minutes in an hour, we can multiply the decimal part of the hours by 60 to find the equivalent number of minutes. 0.06 * 60 = 3.6. So, 10.06 hours is equivalent to 10 hours and 3.6 minutes.
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