Question

What is the value of x in the triangle?

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The value of x is ~

$\boxed{5 \sqrt{3} }$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

The Triangle stated in the diagram is a right angled Triangle, so

• $\tan(30) = \dfrac{x}{15}$

• $\dfrac{1}{ \sqrt{3} } = \dfrac{x}{15}$

• $x = \dfrac{15}{ \sqrt{3} }$

• $x = 5 \sqrt{3}$