Question

What is the value of h? 48 sqrt 3168 sqrt 2

Answer 1

From definition:

$\sin (angle)=\frac{\text{opposite side}}{\text{ hypotenuse}}$

From the picture:

$\begin{gathered} \sin (45)=\frac{8}{h} \\ \frac{1}{\sqrt[]{2}}=\frac{8}{h} \\ h=8\cdot\sqrt[]{2} \end{gathered}$