Respuestas
Respuesta dada por:
1
rotar la figura.
![\alpha =45^{\circ} \alpha =45^{\circ}](https://tex.z-dn.net/?f=%5Calpha+%3D45%5E%7B%5Ccirc%7D)
![\mathrm{\large{hacer \ seno}} \mathrm{\large{hacer \ seno}}](https://tex.z-dn.net/?f=%5Cmathrm%7B%5Clarge%7Bhacer+%5C+seno%7D%7D)
![\\sin (\alpha)=\frac{9}{x} \\sin (\alpha)=\frac{9}{x}](https://tex.z-dn.net/?f=%5C%5Csin+%28%5Calpha%29%3D%5Cfrac%7B9%7D%7Bx%7D)
![\sin (45^{\circ}) =\frac{\sqrt{2}}{2} \sin (45^{\circ}) =\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Csin+%2845%5E%7B%5Ccirc%7D%29+%3D%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
![\mathrm{\large{Reemplazando:}} \mathrm{\large{Reemplazando:}}](https://tex.z-dn.net/?f=%5Cmathrm%7B%5Clarge%7BReemplazando%3A%7D%7D)
![\frac{\sqrt{2}}{2}=\frac{9}{x} \frac{\sqrt{2}}{2}=\frac{9}{x}](https://tex.z-dn.net/?f=+%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%3D%5Cfrac%7B9%7D%7Bx%7D)
![\mathrm{\large{Despejar \ x}} \mathrm{\large{Despejar \ x}}](https://tex.z-dn.net/?f=%5Cmathrm%7B%5Clarge%7BDespejar+%5C+x%7D%7D)
![x=9\frac{2}{\sqrt{2}} x=9\frac{2}{\sqrt{2}}](https://tex.z-dn.net/?f=+x%3D9%5Cfrac%7B2%7D%7B%5Csqrt%7B2%7D%7D)
![\mathrm{\large{multiplicar\ y \ divir\ por \ \sqrt{2}}} \mathrm{\large{multiplicar\ y \ divir\ por \ \sqrt{2}}}](https://tex.z-dn.net/?f=%5Cmathrm%7B%5Clarge%7Bmultiplicar%5C+y+%5C+divir%5C+por+%5C+%5Csqrt%7B2%7D%7D%7D)
![x=9\frac{2}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}} x=9\frac{2}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}](https://tex.z-dn.net/?f=+x%3D9%5Cfrac%7B2%7D%7B%5Csqrt%7B2%7D%7D%5Ctimes+%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%7D)
![x=\frac{9\times 2\sqrt{2}}{2}\Rightarrow x=9\sqrt{2} x=\frac{9\times 2\sqrt{2}}{2}\Rightarrow x=9\sqrt{2}](https://tex.z-dn.net/?f=+x%3D%5Cfrac%7B9%5Ctimes+2%5Csqrt%7B2%7D%7D%7B2%7D%5CRightarrow+x%3D9%5Csqrt%7B2%7D)
Adjuntos:
![](https://es-static.z-dn.net/files/d27/5182f050835ea7f1817529cdb8849511.jpg)
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