Answer:
C
Step-by-step explanation:
The diagonals of a square bisect the angles, thus
x = 0.5 × 90° = 45°
The sides of a square are congruent.
Using the sine ratio on the right triangle on the left and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex], then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10.9}{y}[/tex]
Multiply both sides by y
y × sin45° = 10.9, that is
y × [tex]\frac{1}{\sqrt{2} }[/tex] = 10.9
Multiply both sides by [tex]\sqrt{2}[/tex]
y = 10.9[tex]\sqrt{2}[/tex]
