Answer:
x = 24
Step-by-step explanation:
SOH (Sin = Opposite/Hypotenuse)
CAH (Cos = Adjacent/Hypotenuse)
TOA (Tan = Oppositie/Adjacent)
The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.
Sin(30) = 12/x
Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5
0.5 = 12/x
Multiply each side by x
0.5x = 12
Divide off 0.5 from both sides
x = 24
