Answer:
The answer to your question is x = 8[tex]\sqrt{2}[/tex] or 11.31
Step-by-step explanation:
To solve this problem need to use trigonometric functions
The trigonometric function that relates the opposite side and the hypotenuse is sine.
sin [tex]\alpha = \frac{8}{x}[/tex]
- Solve for x
x = 8/sin 45
- sin 45 = 1/[tex]\sqrt{2}[/tex]
- Find x
x = 8 / 1/[tex]\sqrt{2}[/tex]
x = 8[tex]\sqrt{2}[/tex] or 11.31
