Chapter 5.1, Problem 21E

To determine

To change: ${286.88}^{\circ }$ measure to degrees, minutes and seconds.

Answer to Problem 21E

  ${286}^{\circ }52\text{'}48\text{'}\text{'}$

Explanation of Solution

Given information: ${286.88}^{\circ }$

Calculation:

  ${286.88}^{\circ }$

First we change the decimal part to minutes,

Since each degree is 60’ we multiply the

  $0.88\times 60$

To get 52.8’

So we tack on 52’ to the ${286}^{\circ }$ .

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

  $0.8\times 60=48\text{'}\text{'}$

Tack on to get the final answer.

Thus,

  ${286}^{\circ }52\text{'}48\text{'}\text{'}$