A) Are parallel to each other
B) Are diverging
C) Make an angle \[2{{\sin }^{-1}}\,(0.72)\] with each other
D) Make an angle \[2\,\{{{\sin }^{-1}}(0.72)-{{30}^{o}}\}\] with each other
Correct Answer: D
Solution :
At point A. \[\frac{\sin {{30}^{o}}}{\sin r}=\frac{1}{1.44}\] \[\Rightarrow r={{\sin }^{-1}}(0.72)\,\,\text{also}\,\,\angle BAD=180{}^{o}-\,\angle r\] In rectangle ABCD, Ð A + Ð B + Ð C + Ð D = 360° Þ \[(180{}^\circ -r)+60{}^\circ +(180{}^\circ -r)+\theta =360{}^\circ \] \[\Rightarrow \theta =2\,[\sin {}^{-1}(0.72)-30{}^{o}]\]You need to login to perform this action.
You will be redirected in
3 sec