Answer :

Answer:

8\sqrt{2}\ units.

Step-by-step explanation:

Use the trignometric property.

sin\theta = \frac{Perpendicular}{Hypotenuse}

Perpendicular = 8

Hypotenuse = h

\theta = 45^{\circ}

sin\ 45^{\circ} = \frac{1}{\sqrt{2}}

\frac{1}{\sqrt{2}} = \frac{8}{h}

h = 8\sqrt{2}\ units

Hope I helped you! x

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