Question

Write your answer in simplest radical form​

Answer 1

Answer:

q = $\sqrt{2}$

Step-by-step explanation:

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

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{q}{2\sqrt{2} }$ = $\frac{1}{2}$ ( cross- multiply )

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

q = $\sqrt{2}$