Question

Which is the right answer?

Answer 1

Answer:

D

Step-by-step explanation:

Since the triangle is right use the sine trig ratio to solve for x

noting that sin45° = $\frac{1}{\sqrt{2} }$ ← exact value

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{8}{x}$

Multiply both sides by x

x × sin45° = 8 ( divide both sides by sin45° )

x = $\frac{8}{sin45}$ = $\frac{8}{\frac{1}{\sqrt{2} } }$ = 8$\sqrt{2}$