## Trigonometry 7th Edition

$21.8^{\circ}$
To convert $21^{\circ} 48'$ to decimal degrees, let's break it as- $21^{\circ} 48'$ = $21^{\circ}$ + $48'$ Now on dividing $48'$ by 60, we have the number of "decimal degrees" equivalent to $48'$ (as $1^{\circ} = 60'$) Therefore $21^{\circ} 48'$ = $21^{\circ}$ + $(\frac{48}{60})^{\circ}$ $21^{\circ} 48'$ = $21^{\circ}$ + $0.8^{\circ}$ $21^{\circ} 48'$= $21.8^{\circ}$