Final answer:
The height of the reduced triangle is approximately 1.5625 inches.
Step-by-step explanation:
The height of the reduced triangle can be found using similar triangles. Since the reduced triangle is a smaller version of the original triangle, the ratio of their heights will be the same as the ratio of their corresponding sides. In this case, the ratio of the heights is 1/4.8, which is approximately 0.2083. Multiply this ratio by the height of the original triangle (7.5 inches) to find the height of the reduced triangle:
7.5 inches * 0.2083 = 1.5625 inches
Therefore, the height of the reduced triangle is approximately 1.5625 inches.