Final answer:
The height of the billboard is found by dividing the given area (3705 square feet) by the given width (57 feet), which results in a height of 65 feet.
Step-by-step explanation:
To find the height of the billboard when the area and width are known, you can use the formula for the area of a rectangle: Area = Width × Height. To solve for the height, you divide the area by the width.
In this case, the area of the billboard covered by the ribbon is 3705 square feet and the width is given as 57 feet. By dividing 3705 by 57, you can find the height. So the calculation would be Height = Area / Width = 3705 / 57 = 65 feet.
Therefore, the height of the billboard is 65 feet.