To find the measure of angle A to the nearest tenth of a degree, we need to use the inverse sine function (sin^(-1)).
Step 1: Take the inverse sine (sin^(-1)) of 0.7245.
A = sin^(-1)(0.7245)
Step 2: Use a scientific calculator or an online calculator that has the inverse sine function. Enter 0.7245 and find the inverse sine.
Step 3: Round the answer to the nearest tenth of a degree.
A ≈ __ degrees
Please note that I cannot provide the exact value since it requires using a calculator or a tool with trigonometric functions.