Chapter 49, Problem 1A

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

To determine

The angle 159.3596^o as degrees, minutes and seconds.

Answer to Problem 1A

The angle 159.3596^o as degrees, minutes and seconds can be written as $159°21\text{'}34"$

Explanation of Solution

Calculation:

In the angle 159.3596^o, 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,

  $0.3596\times 60=21.576$, 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.

  $0.576\times 60=34.56$, the whole number 34 equals seconds.

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

This can also be written as

  $159.3596°=159°21\text{'}34"$

Conclusion:

Thus, the angle 159.3596^o as degrees, minutes and seconds can be written as $159°21\text{'}34"$