Answer:
To find the value of side a in a right triangle given that sin A = 0.37 and side b = 47.5, we can use the sine ratio.
The sine ratio is defined as the ratio of the length of the side opposite the angle A to the hypotenuse of the right triangle. Therefore, we have:
sin A = opposite / hypotenuse
Substituting the given values, we get:
0.37 = a / 47.5
To find the value of a, we can multiply both sides of the equation by 47.5:
0.37 * 47.5 = a
a ≈ 17.575
Therefore, the value of side a is approximately 17.575.