Chapter 5.1, Problem 23E

To determine

To change: ${246.876}^{\circ }$ measure to degrees, minutes and seconds.

Answer to Problem 23E

  ${246}^{\circ }52\text{'}34\text{'}\text{'}$

Explanation of Solution

Given information: ${246.876}^{\circ }$

Calculation:

  ${246.876}^{\circ }$

First we change the decimal part to minutes,

Since each degree is 60’ we multiply the

  $0.876\times 60$

To get 52.56’

So we tack on 52’ to the ${246}^{\circ }$ .

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

  $0.56\times 60\approx 34\text{'}\text{'}$

Tack on to get the final answer.

Thus,

  ${246}^{\circ }52\text{'}34\text{'}\text{'}$