Question

In the figure below, AC is tangent to circle B. BA is a radius of circle B and A is a point of tangency. If AB is equal to 15 and BC is equal to 50, what is the approximate measure of segment AC?

Answer 1

the tangent line CA for a right angle with the radius BA, with angle A being the right angle.
AC²=BC²-BA²=50²-15²
AC=√(50²-15²)
use a calculator: AC≈47.7