question_answer

 

Directions: Q. 11 to 15

Ritu's daughter is feeling so hungry and so thought to eat something. She looked into the bag and found some chips packed. She decided to eat. She open the chips packet and found that it forms a right angled triangle, with sides 3 cm, \[3\sqrt{3}\] cm and 6 cm.

On the basis of above information, answer the following questions.

The value of \[\angle M=\]

A) \[30{}^\circ \]

B) \[60{}^\circ \]

C) \[45{}^\circ \]

D) None of these

Correct Answer: A

Solution :

\[\tan \,M=\frac{KL}{LM}\]

\[\tan M=\frac{3}{3\sqrt{3}}=\frac{1}{\sqrt{3}}\]

\[\tan M=\tan 30{}^\circ\]

\[\angle M=30{}^\circ\]

\[\tan \,M=\frac{KL}{LM}\]  \[\tan M=\frac{3}{3\sqrt{3}}=\frac{1}{\sqrt{3}}\] \[\tan M=\tan 30{}^\circ \] \[\angle M=30{}^\circ \]