Answer:
[tex]x = 7 \sqrt{2} [/tex]
Step-by-step explanation:
[tex]sinθ = \frac{opp}{hyp} [/tex]
[tex]sin45° = \frac{7}{x} [/tex]
[tex] \frac{ \sqrt{2} }{2} = \frac{7}{x} [/tex]
Cross multiply:
[tex]( \sqrt{2} )(x) = 7(2)[/tex]
[tex]x = \frac{14}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]
[tex]x = \frac{14 \sqrt{2} }{2} [/tex]
[tex]x = 7 \sqrt{2} [/tex]
