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?

Imported Asset
Question 10 options:



47.1



47.3



47.5



47.7

Answer 1

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.