# 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

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? imported asset question 10 options: 47.1 47.3 47.5 47.7

## This Post Has 2 Comments

1. amuijakobp78deg says:

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

2. croxy0514 says:

Using the pythagorean theorem
Base×Base + Perpendicular×Perpendicular = Hypotenuse× Hypotenuse
or B^2+P^2=H^2
B=root H^2 -P^2
Here hypotenuse =50 and Perpendicular = 15
therefore
root(50×50-15×15)
=root(2500-225)
=root(2275)
=47.69
=47.7 (approximately)