A) \[30{}^\circ \]
B) \[45{}^\circ \]
C) \[60{}^\circ \]
D) \[75{}^\circ \]
Correct Answer: C
Solution :
Let the angle between the two mirrors be\[\theta \]. Ray PQ is parallel to mirror\[{{M}_{1}}\]and RS is parallel to\[{{M}_{2}}\]. So \[\angle {{m}_{1}}RS=\angle ORQ=\angle {{M}_{1}}O{{M}_{2}}=\theta \] Similarly, \[\angle {{M}_{2}}QP=\angle OQR=\angle {{M}_{2}}O{{M}_{1}}=\theta \] \[\therefore \]In \[\Delta ORQ,\text{ }3\theta =180{}^\circ \] \[\theta =60{}^\circ .\]You need to login to perform this action.
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