Help me with this please

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 * = 12

to find the legs

x =

x = 8.5

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 =

     x = 8.485 ;  x≈ 8.5

  or in a a 45- 45 -90 right triangle the hypotenus =  the leg( )

You are given the hypotenuse = 12.  Finding x value

    hypotenus = leg ()

         12 =  x( )

         12/ = x

         8.485 ≈ x

          8.5 ≈ x

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step-by-step explanation: