Question

10 points! Please help if able!

Answer 1

The 30/60/90 right triangle is the biggest cliche in trig. We recall the sides come in ratio
`1:√(3):2`

`1:√(3):2 = x:y:4√(2)`

First x:

`\frac x 1 = (4 √(2))/(2)`

`x = 2 \sqrt 2`

Next y:

`(y)/(√(3)) =(x)/(1)`

`y= 2 √(2) √(3) = 2 √(6)`

Choice C