Chapter 6.1, Problem 30AYU

In Problems 65-70, convert each angle to $D°M\text{'}S"$ form. Round your answer to the nearest second.

${61.24}^{\circ }$

To determine

To find: The given angle to $D°M^{\prime }{S}^{″}$ form.

Answer to Problem 30AYU

Solution:

$61°14^{\prime }24^{″}$

Explanation of Solution

Given:

$61.24°$

Calculation:

$61.24°=61°+0.24°$

$=61°+0.24\left(1°\right)$

$=61°+0.24{\left(60\right)}^{\prime }$, Substitute $60^{\prime }$ for $1°$.

$=61°+14.4^{\prime }$

$=61°+14^{\prime }+0.4^{\prime }$

$=61°+14^{\prime }+0.4{\left(1\right)}^{\prime }$

$=61°+14^{\prime }+0.4{\left(60\right)}^{\prime \text{}\prime }$, Substitute $60^{″}$ for $1^{\prime }$.

$=61°+14^{\prime }+24^{″}$

$=61°14^{\prime }24^{″}$