Final answer:
The height of the resized photo would be 8.75 inches.
Step-by-step explanation:
To resize the art on an 8-inch x 10-inch paper to fit a 7-inch x 5-inch frame, we need to determine the scale factor. Since the width of the resized photo is 7 inches and the initial width is 8 inches, the scale factor for the width is 7/8. To find the height of the resized photo, we can multiply the scale factor for the width by the initial height. So the height of the resized photo would be (7/8) * 10 inches, which simplifies to 8.75 inches.