Finding Angle A in Right Triangle ABC

In triangle ABC, angle C is a right angle. The length of side AC is 6 units, and the length of side BC is 8 units. Using trigonometric ratios, calculate the measure of angle A to the nearest degree.

Recall that the sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. You can also use this information in conjunction with the Pythagorean theorem if necessary.