| Direction: Q. 16 to 20 |
| Priyanshi's daughter is feeling hungry so she thought of eating something. She looked into the fridge and found some bread pieces. She decided to make a sandwich. She cut the piece of bread diagonally and found that it forms a right angled triangle, with sides \[\text{4 cm},\] \[\text{4}\sqrt{3}\text{ cm}\]and\[\text{8 cm}\]. |
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| Based on the above information, give the answer of the following questions: |
A) \[30{}^\circ \]
B) \[60{}^\circ \]
C) \[45{}^\circ \]
D) None of these
Correct Answer: A
Solution :
| We have, |
| \[KL=4cm,\] \[ML=4\sqrt{3}cm,\] \[KM=8cm\] |
| \[\tan M=\frac{KL}{LM}=\frac{4}{4\sqrt{3}}=\frac{1}{\sqrt{3}}\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\tan M=\tan 30{}^\circ \,\,\Rightarrow \,\,\angle M=30{}^\circ \] |
| So, option [a] is correct. |
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