Question

Write your answer in simplest radical form​

Answer 1

q =
`√(2)`

Explanation:

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

sin30° =
`(1)/(2)` , then

sin30° =
`(opposite)/(hypotenuse)` =
`(q)/(2√(2) )` =
`(1)/(2)` ( cross- multiply )

2q = 2
`√(2)` ( divide both sides by 2 )

q =
`√(2)`