Question

What is the value of x in the triangle?

Answer 1

Answer:

D

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = $\frac{\sqrt{2} }{2}$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{4}$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

2x = 4$\sqrt{2}$ ( divide both sides by 2 )

x = 2$\sqrt{2}$