Answer :
The 32° 15' 66" is the same as 32.27 degree because 1 degree = 60 minutes = 3600 seconds.
What is unit conversion?
It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
We have:
32° 15' 66"
Here 15' represents the minute and 66" represents the seconds.
We know 1 degree = 60 minutes = 3600 seconds
15' in degree = 0.25 degree
66" in degree = 0.01833 degree
= 32 + 0.25 + 0.01833
= 32.268 ≈ 32.27 degree
Thus, the 32° 15' 66" is the same as 32.27 degree because 1 degree = 60 minutes = 3600 seconds.
Learn more about the unit conversion here:
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To convert the angle 32° 15' 66" to decimal degrees, adjust the seconds to 32° 16' 6", then convert to decimal form and round to two decimal places, resulting in 32.27 degrees.
The question is asking to convert the angle from degrees, minutes, seconds (DMS) to decimal degrees (DD). We're given the angle as 32° 15' 66". Since there are 60 minutes in a degree and 60 seconds in a minute, we can convert this angle by first converting the seconds to minutes (66" is equivalent to 1' 6"), which gives us 32° 16' 6", and then converting both the minutes and the remaining seconds to a decimal form and adding them to the degrees.
To find the decimal equivalent: 32 + 16/60 + 6/3600. This equals 32.26833 degrees. When rounded to the nearest hundredth, it becomes 32.27 degrees.
