Question

If AB is tangent to (circle)C at A, find BC.

Answer 1

BC = 24 in

Explanation:

since AB is a tangent to the circle then ∠ BAC = 90°

using the sine ratio in the right triangle and the exact value

sin30° =
`(1)/(2)` , then

sin30° =
`(opposite)/(hypotenuse)` =
`(AC)/(BC)` =
`(12)/(BC)` =
`(1)/(2)` ( cross- multiply )

BC = 24