Question

two segments from P are tangent to circle O. If the measure of and P is 60 and the radius of circle O is 12 feet, find the length of each tangent.

Answer 1

Consider the sketch sown below

Using tangent ratio it follows

`\tan30=(12)/(x)`

This gives

`\begin{gathered} x=(12)/(\tan30) \\ x=(12)/((1)/(√(3))) \\ x=12√(3) \end{gathered}`

Therefore the lengths of each tangent is 12 times square root of 3