The equation determining angle A in the right triangle with AC = 8 and AB = 17 is tanA = 15/8. This translates to an angle of approximately 63.43 degrees.
In the diagram below of right triangle ABC, AC = 8 and AB = 17. The equation that determines the value of angle A is tanA = 15/8.
This can be found using the trigonometric ratio of tangent, which is defined as the opposite side over the adjacent side in a right triangle. In this case, the opposite side is AC (8) and the adjacent side is BC (15). Therefore, tanA = 8/15. However, the answer choices only have tanA in the form of 15/8, so that is the correct equation.
To solve for angle A, we can use the inverse tangent function (tan^-1). This function takes the tangent of an angle as input and outputs the angle itself. In this case, we would input 15/8 into the tan^-1 function to find angle A.
tan^-1(15/8) = 63.43 degrees
Therefore, angle A is approximately 63.43 degrees.