Mathematics for Machine Technology
Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 49, Problem 1A

Express 159.3596° as degrees, minutes, and seconds. If necessary, round the answer to the nearest whole second.

Expert Solution & Answer
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To determine

The angle 159.3596o as degrees, minutes and seconds.

Answer to Problem 1A

The angle 159.3596o as degrees, minutes and seconds can be written as 159°21'34"

Explanation of Solution

Calculation:

In the angle 159.3596o, the whole number 159 is the angle in degrees. The remaining decimal 0.3596 when multiplied with 60, will give the angle expressed in minutes.

That means,

  0.3596×60=21.576, the whole number 21 is the angle in minutes.

Now, to find the seconds part of the angle, let us multiply the decimal part of the minutes with 60.

  0.576×60=34.56, the whole number 34 equals seconds.

Thus, the decimal angle 159.3596o can be expressed as 159 degrees, 21 minutes, and 34 seconds.

This can also be written as

  159.3596°=159°21'34"

Conclusion:

Thus, the angle 159.3596o as degrees, minutes and seconds can be written as 159°21'34"

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