1. **Stating the problem:** In a right triangle ABC, angle C is the right angle. Given BC = 2 and \( \sin A = 0.2 \), we need to find the length AB. 2. **Identify the sides relative to angle A:** - BC is opposite angle A. - AC is adjacent to angle A. - AB is the hypotenuse. 3. **Use the definition of sine:** $$ \sin A = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{BC}{AB} $$ Given \( \sin A = 0.2 \) and \( BC = 2 \), substitute: $$ 0.2 = \frac{2}{AB} $$ 4. **Solve for AB:** $$ AB = \frac{2}{0.2} = 10 $$ **Answer:** The length of AB is 10.