Question

Which is the right answer?

Answer 1

D

Explanation:

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

noting that sin45° =
`(1)/(√(2) )` ← exact value

sin45° =
`(opposite)/(hypotenuse)` =
`(8)/(x)`

Multiply both sides by x

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

x =
`(8)/(sin45)` =
`(8)/((1)/(√(2) ) )` = 8
`√(2)`