Find missing side lengths

Answer:
[tex]y=30\sqrt{2}[/tex]
Step-by-step explanation:
[tex]In[/tex]Δ[tex]ABC[/tex]
[tex]tan45=AB/BC[/tex]
[tex]1=30/BC[/tex] [tex][tan45=1][/tex]
[tex]-------\\BC=30 \\-------[/tex] ⇒ [tex]OC=30\\[/tex]
[tex]and[/tex] [tex]In[/tex] Δ[tex]ABC[/tex]
[tex]Cos45=Bc/AC[/tex]
[tex]1/\sqrt{2} =x/y[/tex]
[tex]y=\sqrt{2}*x[/tex]
[tex]y=30\sqrt{2}[/tex]
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hope it helps....
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