Answer:
D
Step-by-step explanation:
Using the sine ratio or the cosine ratio in the right triangle.
Choosing the sine ratio with the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 5[tex]\sqrt{2}[/tex] → D
