Answer
$99^{\circ}42'$
Work Step by Step
Step 1: To convert from radians to degrees, we need to multiply the angle in radians by $(\frac{180^{\circ}}{\pi})$,
$1.74$ radians$=1.74(\frac{180^{\circ}}{\pi})$
Step 2: Using a calculator,
$1.74(\frac{180^{\circ}}{\pi})\approx99.69466^{\circ}$
Step 3: Converting decimal degrees to minutes,
$0.69466(60')\approx42'$
Step 4: Therefore, $99.69466^{\circ}=99^{\circ}42'$
