Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle and tan45° = 1
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{7}[/tex] = 1 ( multiply both sides by 7 )
x = 7
---------------------------------------------
(8)
Using the cosine ratio and cos45° = [tex]\frac{1}{\sqrt{2} }[/tex]
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{7}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = 7[tex]\sqrt{2}[/tex]
