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) =
![(Opposite Side)/(Hypotenuse)](https://img.qammunity.org/2022/formulas/mathematics/high-school/lb2uabbbshcv3kd1wplweflzzpqwcwqaxw.png)
Plug in the values and solve for the Hypotenuse (BC)
![sin(45) = (8)/(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/v2k4cd6w3fsln6tvj5g0hhsjmb466ov0fx.png)
Multiply x to both sides, then divide both sides by sin(45).
x =
![(8)/(sin(45))](https://img.qammunity.org/2022/formulas/mathematics/high-school/czgosqjhaqr6ukugln40smll5gbjla8x24.png)
Input into a calculator and solve.
The length of BC is
, or 11.3137.
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