Answer:
A
Step-by-step explanation:
using the sine ratio in the right triangle, then
sin 45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{5}[/tex]
multiply both sides by 5
note the exact value of sin 45° = [tex]\frac{\sqrt{2} }{2}[/tex]
x = 5 × sin 45° = 5 × [tex]\frac{\sqrt{2} }{2}[/tex] = [tex]\frac{5\sqrt{2} }{2}[/tex]
