Question

Can anyone please help me figure this problem out?​

Answer 1

Answer:

x = 12

Step-by-step explanation:

Reference angle = 45°

Opposite side length = x

Hypotenuse = 12√2

Thus, to find x, apply trigonometric ratio.

$sin(45) = \frac{x}{12\sqrt{2}}$

Multiply both sides by 12√2

$sin(45)*{12\sqrt{2}} = x$

$\frac{1}{\sqrt{2}}*{12\sqrt{2}} = x$ (sin 45 = 1/√2)

$\frac{1*12\sqrt{2}}{\sqrt{2}} = x$

$\frac{12\sqrt{2}}{\sqrt{2}} = x$

12 = x

x = 12