Chapter 5.1, Problem 6CFU

To determine

To change: $-{72.775}^{\circ }$ to degree, minutes and seconds.

Answer to Problem 6CFU

  $-{72}^{\circ }46\text{'}30\text{'}\text{'}$

Explanation of Solution

Given information: $-{72.775}^{\circ }$

Calculation:

  $-{72.775}^{\circ }$

First we change the decimal part to minutes.

Since each degree is 60’ we multiply the $0.775\times 60$ to get $46.5\text{'}$ .

There was a remainder this time.

Multiply it by $60\text{'}\text{'}$ to find the number of seconds.

  $0.5\times 60\text{'}\text{'}=30\text{'}\text{'}$

So the answer is,

  $-{72}^{\circ }46\text{'}30\text{'}\text{'}$