Question

The minimum no. of angle gauges required to build an angle of ${34}^{\circ }{46}^{\prime }{54}^{\prime \prime }$ from a standard set is

• A. 11
• B. 12
• C. 9
• D. 7

Answer 1

The correct option is D 7

Standard set

$\text{Degree}{1}^{\circ },3^{\circ },9^{\circ },{27}^{\circ },{41}^{\circ }$

$\text{Min}{1}^{\prime },3^{\prime },9^{\prime },{27}^{\prime }$

$\text{sec}{3}^{\prime \prime },6^{\prime \prime },{18}^{\prime \prime },{30}^{\prime \prime }$

${34}^{\circ }{46}^{\prime }{54}^{\prime \prime }={27}^{\circ }+9^{\circ }-1^{\circ }-9^{\prime }-3^{\prime }-1^{\prime }-6^{\prime \prime }$

$\text{Or}={41}^{\circ }-9^{\circ }+3^{\circ }-9^{\prime }-3^{\prime }-1^{\prime }-6^{\prime }$