In the triangle abc, the angle is C = 90 degrees, ab = 16, ac = 8 roots of 3. Find: sinA

As we can see from the condition of our problem, the side ab is the hypotenuse of our triangle.
Let us determine what the cosine of angle A will equal if from the condition of the task we know for sure that the hypotenuse in our triangle is 16, while the leg we need is 8√3:
8√3: 16 = √3 / 2.
Determine what the sine of this angle will be, for which we use the well-known trigonometric equation:
sin2 A = 1 – (√3 / 2) 2;
sin2 A = 1/4;
sin1 A = 1/2;
sin2 A = -1/2 (not suitable).
Answer: 1/2.