The radius of circle O is 42, and OC = 15. The diagram is not drawn to scale. What is the length of segment AB? Round the answer to the nearest tenth. (1 point) Responses 58.5 58.5 78.5 78.5 29.2 29.2 39.2
To find the length of segment AB, we can use the Pythagorean theorem.
Since triangle OCB is a right triangle (since OC is the radius of the circle, which is perpendicular to the tangent line at point C), we can use the Pythagorean theorem to find the length of AB.
AB^2 = AC^2 - CB^2
AB^2 = 42^2 - 15^2
AB^2 = 1764 - 225
AB^2 = 1539
AB = sqrt(1539)
AB ≈ 39.2
Therefore, the length of segment AB is approximately 39.2.
The closest answer choice is 39.2.