Express 30°25'45" as a decimal of a right angle with explanation.
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Recall that 1 degree = 60 minutes and 1 minute = 60 seconds
Thus, 1 degree = 3600 seconds
This implies,
1 minute = degree
1 second = degree
Now,
30°25'45"
= 30 degrees 25 minutes 45 seconds
= 30 degrees + degree + degree
= degrees
= degrees
= degrees
≈ 30.4292 degrees
Therefore, the required decimal would be 30.4292°.
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