Answer:
x = 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use the sine or cosine ratio to find x
Using the cosine ratio in the right triangle ( lower 45° angle )
and the exact value cos45° = [tex]\frac{\sqrt{2} }{2}[/tex]
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{28}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 28[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 14[tex]\sqrt{2}[/tex]
