Question

Can anyone please help me figure this problem out?​

Answer 1

x = 12

Explanation:

Reference angle = 45°

Opposite side length = x

Hypotenuse = 12√2

Thus, to find x, apply trigonometric ratio.

`sin(45) = (x)/(12√(2))`

Multiply both sides by 12√2

`sin(45)*{12√(2)} = x`

`(1)/(√(2))*{12√(2)} = x` (sin 45 = 1/√2)

`(1*12√(2))/(√(2)) = x`

`(12√(2))/(√(2)) = x`

12 = x

x = 12