Answer:
[tex]x =3 \\ \\ y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \tan(45) = \frac{y}{ \frac{3 \sqrt{2} }{2} } \\ \\ 1 = \frac{y}{ \frac{3 \sqrt{2} }{2} } \\ \\ y = \frac{3 \sqrt{2} }{2} [/tex]
[tex] \cos(45) = \frac{ \frac{3 \sqrt{2} }{2} }{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{ \frac{3 \sqrt{2} }{2} }{x} \\ \\ \\ x = \sqrt{2} \times \frac{3 \sqrt{2} }{2} \\ \\ x = \frac{3(2)}{2} \\ \\ \\ x = 3[/tex]
