Answer and Step-by-step explanation:
To find the length of BC, we will be using the trigonometric function Sine.
The Sine trig function is as follows:
sin(θ) = [tex]\frac{Opposite Side}{Hypotenuse}[/tex]
Plug in the values and solve for the Hypotenuse (BC)
[tex]sin(45) = \frac{8}{x}[/tex]
Multiply x to both sides, then divide both sides by sin(45).
x = [tex]\frac{8}{sin(45)}[/tex]
Input into a calculator and solve.
The length of BC is [tex]8\sqrt{2}[/tex], or 11.3137.
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