whays is the amgle from B to A to C?

Question

Three circles are touching each other. The radius of the circle with center A is 29. The radius of the circle with center B is 31. And the radius ofthe circle with center C is 27. What is the amgle from B to A to C? 

 

Circle a smallest of the left circle B the largest on the right circle C bottom all connected. 

Answer 1

Didn't anyone answer this question over the past 10 years ? Anyway, drawing circles and the corresponding radius's will yield the lengths of the sides of a triangle....here are the lengths....60, 58, & 56. We then use the law of cosines to find the value of cos A. It's formula is (a^2 - b^2. - c^2)/-2bc. I came up with cos A = 0.5017857142857. So taking the inverse gives you.....angle A = 59.88 degrees.