A) \[\frac{5}{8}\]
B) \[\frac{5\sqrt{3}}{8}\]
C) \[\frac{5}{6}\]
D) \[\frac{8}{5}\]
Correct Answer: A
Solution :
From the diagram below: \[{{T}_{A}}\cos {{\theta }_{1}}={{T}_{B}}\sin {{\theta }_{2}}\] \[\Rightarrow \] \[{{T}_{1}}\cos {{37}^{o}}={{T}_{B}}\,\sin {{30}^{o}}\] \[{{T}_{A}}\times \frac{4}{5}={{T}_{B}}\times \frac{1}{2}\] \[\frac{{{T}_{A}}}{{{T}_{B}}}=\frac{5}{8}\]You need to login to perform this action.
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