Respuesta :

Answer:

a - 8.5ft

Step-by-step explanation:

() Using trig ratio

sin(45) = x/12

12 * sin(45) = x

x = 8.5

() Using Pythagorean theorem

*special right triangle*

Since x * [tex]\sqrt{2}[/tex] = 12

to find the legs

x = [tex]\frac{12}{\sqrt{2}}[/tex]

x = 8.5

Answer:

x ≈ 8.5

Step-by-step explanation:

You  have a 45- 45 -90 right triangle.  The hypotenuse = 12, the legs = x

   a² + b² = c²

 x² + x² = 12²

  2x² = 144

    x² = 72

    x = [tex]\sqrt{72}[/tex]

     x = 8.485 ;  x≈ 8.5

  or in a a 45- 45 -90 right triangle the hypotenus =  the leg([tex]\sqrt{2}[/tex] )

You are given the hypotenuse = 12.  Finding x value

    hypotenus = leg ([tex]\sqrt{2}[/tex])

         12 =  x([tex]\sqrt{2}[/tex] )

         12/[tex]\sqrt{2}[/tex] = x

         8.485 ≈ x

          8.5 ≈ x