Chapter 5, Problem 22SGA

To determine

To change: ${27.465}^{\circ }$ measure to degrees, minutes and seconds.

Answer to Problem 22SGA

  ${27}^{\circ }27\text{'}54\text{'}\text{'}$

Explanation of Solution

Given information: ${27.465}^{\circ }$

Calculation:

  ${27.465}^{\circ }$

First we change the decimal part to minutes,

Since each degree is 60’ we multiply the

  $0.465\times 60$

To get 27.9’

So we tack on 27’ to the ${27}^{\circ }$ .

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

  $0.9\times 60=54\text{'}\text{'}$

Tack on to get the final answer.

Thus,

  ${27}^{\circ }27\text{'}54\text{'}\text{'}$