Question

Help me with this please

Answer 1

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 * $\sqrt{2}$ = 12

to find the legs

x = $\frac{12}{\sqrt{2}}$

x = 8.5

Answer 2

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 = $\sqrt{72}$

     x = 8.485 ;  x≈ 8.5

  or in a a 45- 45 -90 right triangle the hypotenus =  the leg($\sqrt{2}$ )

You are given the hypotenuse = 12.  Finding x value

    hypotenus = leg ($\sqrt{2}$)

         12 =  x($\sqrt{2}$ )

         12/$\sqrt{2}$ = x

         8.485 ≈ x

          8.5 ≈ x