Question

The measure of an angle formed by two tangents

Answer 1

BC = 24

Explanation:

the angle between the tangent and the radius at the point of contact A is 90°

then Δ ABC is a right triangle

using the sine ratio in the right triangle

sin30° =
`(opposite)/(hypotenuse)` =
`(AC)/(BC)` =
`(12)/(BC)` ( multiply both sides by BC

BC × sin30° = 12 ( divide both sides by sin30° )

BC =
`(12)/(sin30)` = 24