Question

Find z. Write your answer in simplest radical form.

Answer 1

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's solve ~

The given triangle is a right angled Triangle, so we can apply Trigonometric relations to find the required result ;

That is :

$\qquad \sf \dashrightarrow \: \sin(30 \degree) = { \dfrac{z}{2 \sqrt{2} } }$

$\qquad \sf \dashrightarrow \: \dfrac{1}{2} = \dfrac{z}{2 \sqrt{2} }$

$\qquad \sf \dashrightarrow \: z = \dfrac{2 \sqrt{2} }{2}$

$\qquad \sf \dashrightarrow \: z = \sqrt{2}$

So, the value of z is $\sqrt{}{2}$