A) \[{{40}^{o}}\]
B) \[30{}^\circ \]
C) more than \[40{}^\circ \]
D) less than \[{{40}^{o}}\]
Correct Answer: D
Solution :
[d] \[{{\delta }_{1}}={{40}^{o}}\], \[{{\delta }_{2}}={{30}^{o}}\]\[\delta =?\] \[\cot \,\delta =\sqrt{{{\cot }^{2}}{{\delta }_{1}}+{{\cot }^{2}}{{\delta }_{2}}}\] \[=\sqrt{{{\cot }^{2}}{{40}^{o}}+{{\cot }^{2}}{{30}^{o}}}\] \[\cot \,\delta =\sqrt{{{1.19}^{2}}+3}=2.1\] \[\therefore \,\,\,\,\delta ={{25}^{o}}\] i.e. \[\delta <{{40}^{o}}\].
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