Chapter 12.4, Problem 3ST

To determine

To express 74.26’ in degrees, minutes, and seconds to the nearest second.

Answer to Problem 3ST

  $74.26\text{'}={75}^{\circ }15\text{'}36\text{'}\text{'}$

Explanation of Solution

Given information :

  $74.26\text{'}$

Now we know that one minute is equal to, $1\text{'}={\left(\frac{1}{60}\right)}^{\circ }$

Therefore $0.26=\left(0.26\times 60\right)\text{'}=15.6\text{'}$

Now we convert minutes to seconds after 15 minutes,

  $\left(.6\text{'}\times 60\right)=36\text{'}\text{'}$

Therefore we get the result,

  ${75}^{\circ }15\text{'}36\text{'}\text{'}$