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

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

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)

Option D is your answer.