Chapter 5, Problem 20SGA

To determine

To change: $-{183.47}^{\circ }$ measure to degrees, minutes and seconds.

Answer to Problem 20SGA

  $-{183}^{\circ }28\text{'}12\text{'}\text{'}$

Explanation of Solution

Given information: $-{183.47}^{\circ }$

Calculation:

  $-{183.47}^{\circ }$

First we change the decimal part to minutes,

Since each degree is 60’ we multiply the

  $0.47\times 60$

To get 28.2’

So we tack on 28’ to the $-{183}^{\circ }$ .

The decimal part of the minutes we can change to seconds by multiply it by 60

  $0.2\times 60=12\text{'}\text{'}$

Tack on to get the final answer.

Thus,

  $-{183}^{\circ }28\text{'}12\text{'}\text{'}$