Answer:
The number of half dollars in the stack of the height of the Gateway Arch in St. Louis is 89,313 half dollars
Explanation:
The given height of the Gateway Arch in St. Louis = 630 ft
The thickness of each half dollar = 2.15 mm
By conversion of factors, we have;
1 feet = 304.8 mm
Therefore;
630 ft. = 304.8 × 630 mm = 192,024 mm
The number of half dollars that will stack up to 630 ft or 192,024 mm, is therefore, given as follows;
The number, n, of half dollars in the stack of the height of the Gateway Arch in St. Louis = The height of the Gateway Arch in St. Louis/(The thickness of each half dollar)
n = 630 ft/(2.15 mm/(half dollar)) = 192,024 mm/(2.15 mm/(half dollar)) = 89,313.49 ≈ 89,313 half dollars
The number of half dollars in the stack of the height of the Gateway Arch in St. Louis = 89,313 half dollars.