Question

In LMN, if LM=10cm and⦟ LNM=90°, ⦟LMN=30°, then what is the length of LN.​

Answer 1

$\begin{gathered}{\underline{\underbrace{\Huge{\bigstar{\textsf{\textbf{\blue{Solution :}}}}}}}}\end{gathered}$

$\orange{\large \qquad \boxed{\boxed{\begin{array}{cc} \tt{Cos 30 \degree} = \dfrac{NM}{\angle M} \\ \\ \tt{ \dfrac{ \sqrt{3} }{2} = \dfrac{NM}{ \angle M} } \\ \\ \tt{NM= \dfrac{ \angle \:M \times \sqrt{3} }{2} } \\ \\ \tt{NM= \dfrac{10 \sqrt{3} }{2}} \\ \\ \boxed{\tt{NM=5 \sqrt{3} cm}}\end{array}}}}$