Question

In the right triangle shown, A= 30° and AB = 8.

How long is BC?
Answer exactly, using a radical if needed.

Answer 1

`BC=4\ units`

Explanation:

The picture of the question in the attached figure

we know that

`sin(30^o)=(BC)/(AB)` ----> by SOH (opposite side divided by the hypotenuse)

we have

`AB=8\ units\\\\sin(30^o)=(1)/(2)`

solve for BC

`BC=sin(30^o)(AB)`

substitute the values

`BC=((1)/(2))(8)`

`BC=4\ units`