In the right triangle shown ∠A=30° and BC=4.
How long is BC?

Answer:
x = 2
Step-by-step explanation:
Remember:
[tex]sin \theta = \frac{Opposite}{Hypotenuse}[/tex]
In the triangle given, the opposite angle to 30 degrees is x and the hypotenuse is 4. Substituting these numbers into the formula gives:
[tex]sin 30^\circ = \frac{x}{4}[/tex]
[tex]x = 0.5 \times4[/tex]
[tex]x = 2[/tex]