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