Answer:
x = 2
Step-by-step explanation:
We can use the sine or cosine ratio to solve for x
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex], then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{8} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = [tex]\sqrt{8}[/tex] × [tex]\sqrt{2}[/tex] = [tex]\sqrt{16}[/tex] = 4 ( divide both sides by 2 )
x = 2
