Answer
$\sin 35^{\circ}10′$ = 0.5760
Work Step by Step
First we will convert $35^{\circ}10′$ to decimal degrees, let's break it as-
$35^{\circ}10′$ = $35^{\circ}$ + $10′$
Now on dividing 10′ by 60, we have the number of "decimal degrees" equivalent to 10′ (as $1^{\circ}$=60′)
Therefore
$35^{\circ}10′$ = $35^{\circ} + (\frac{10}{60})^{\circ}$
$35^{\circ}10′$ = $35^{\circ} + 0.1667^{\circ}$
$35^{\circ}10′$= $35.1667^{\circ}$
Now
Using calculator in degree mode-
$\sin 35.1667^{\circ}$ = 0.5759572986
Rounding it to four places past the decimal point-
$\sin 35.1667^{\circ}$ = 0.5760
Therefore-
$\sin 35^{\circ}10′$ = 0.5760
