Question

hw 7: introduction to geometry
score: 13/16 answered: 14/16
question 15
convert the angle 335.10638888889° to degrees/minutes/seconds form.
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Explanation:

Step1: Separate the whole - number part as degrees

The whole - number part of 335.10638888889 is 335, so the degree part is 335°.

Step2: Calculate the minutes

We take the decimal part 0.10638888889 and multiply by 60 to get the minutes. $0.10638888889\times60 = 6.3833333334$. The whole - number part of this result is the number of minutes. So the number of minutes is 6'.

Step3: Calculate the seconds

We take the decimal part of the previous result (0.3833333334) and multiply by 60 to get the seconds. $0.3833333334\times60=23.000000004\approx23$".

Answer:

335° 6' 23"