Chapter 4.1, Problem 49E

a.

To determine

To convert: $240.6°$ to $D°M^{\prime }{S}^{″}$ form

Answer to Problem 49E

  $240°36^{\prime }$

Explanation of Solution

To convert a decimal degree to $D°M^{\prime }{S}^{″}$ form, the whole number part of the decimal gives degrees.

Thus, $240.6°$ gives $240°$ .

Next step is to multiply the decimal part by 60 and use the whole part obtained as minutes.

  $0.6\times 60=36.0$

So, the whole number 36 equals minutes.

Thus, $240.6°=240°36^{\prime }$

b.

To determine

To convert: $-145.8°$ to $D°M^{\prime }{S}^{″}$ form

Answer to Problem 49E

  $-145°48^{\prime }$

Explanation of Solution

To convert a decimal degree to $D°M^{\prime }{S}^{″}$ form, the whole number part of the decimal gives degrees.

Thus, $-145.8°$ gives $-145°$ .

Next step is to multiply the decimal part by 60 and use the whole part obtained as minutes.

  $0.8\times 60=48.0$

So, the whole number 48 equals minutes.

Thus, $-145.8°=-145°48^{\prime }$