Answer
$175^{\circ}20'$
Work Step by Step
Step 1: To convert from radians to degrees, we need to multiply the angle in radians by $(\frac{180^{\circ}}{\pi})$,
$3.06$ radians$=3.06(\frac{180^{\circ}}{\pi})$
Step 2: Using a calculator,
$3.06(\frac{180^{\circ}}{\pi})\approx175.32509^{\circ}$
Step 3: Converting decimal degrees to minutes,
$0.32509(60')\approx20'$
Step 4: Therefore, $175.32509^{\circ}=175^{\circ}20'$
