help me with this please

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