Final answer:
The angle A for tan A = 1.9 is approximately 62.7° when computed using a calculator's inverse tangent function, which is closest to option B (65.7°) from the choices provided.
Step-by-step explanation:
To find the size of angle A such that tan A = 1.9, you need to use the inverse tangent function, often labeled as tan-1 or atan on a calculator. Since we are looking within the range 0° ≤ A < 90°, you would input the value of tan-1(1.9) into the calculator to find the measure of angle A in degrees.
After performing this calculation, you will get an angle size of approximately 62.7°. However, this does not match any of the answer choices given in the question exactly, but it is closest to option B, which is 65.7°. There might be a slight error either in the calculation or the options provided, but based on the value of the tangent given, the angle should be just over 62 degrees.