please help- What is the value of X ?

Answer:
[tex] x=12\sqrt 2[/tex]
x = 100
Step-by-step explanation:
[tex] \sin \: 45 \degree = \frac{12}{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{12}{x} \\ \\ \huge \red{ x = 12 \sqrt{2} } \\ \\ \\ \sin \: 45 \degree = \frac{x}{100 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{100 \sqrt{2} } \\ \\ x = \frac{100 \sqrt{2} }{ \sqrt{2} } \\ \\ \huge \purple{ x = 100 } [/tex]