Question

The height (in mm) of a 125 mm sine bar to measure a taper of ${27}^{\circ }{32}^{\prime }$ on a flat work piece is (correct to three decimal places)

• A. 57.782

Answer 1

The correct option is A 57.782
$\theta ={27}^{\circ }{32}^{\prime }$

$=27+{\left(\frac{32}{60}\right)}^{\circ }={27.533}^{\circ }$

$\text{In sine bar.}$

$sin\theta =\frac{H}{L}\therefore sin{27.533}^{\circ }=\frac{H}{125}$

$H=57.782mm$