Answer: x = (5√2)/2
The last option
Explanation:
The given triangle is a right triangle. Taking angle 45 as the reference angle,
hypotenuse = 5
opposite side = x
We would find x by applying the sine trigonometric ratio which is expressed as
sin θ = opposite side/hypotenuse
By substituting the given values into the equation,
sin45 = x/5
Recall,
[tex]sin45\text{ = }\frac{\sqrt{2}}{2}[/tex]
Thus,
[tex]\begin{gathered} \frac{\sqrt{2}}{2}\text{ = }\frac{x}{5} \\ By\text{ crossmultiplying,} \\ x\text{ = }\frac{5\sqrt{2}}{2} \end{gathered}[/tex]
x = (5√2)/2
The last option
