The Gateway Arch monument in St. Louis, Missouri is the tallest man-made monument in the western hemisphere and the tallest arch in the world. It was built in the mid 1960’s as a testament to the westward expansion of the United States. It is 630 feet tall and 630 feet wide (at its base). Suppose the city of St. Louis wants to celebrate its anniversary by hanging a 14,400 square foot banner from the arch. The bottom of the banner is to be 300 feet above the ground and equally distant from each side of the arch. There will be a chain attaching the top left and right corner of the banner to the arch. Use a quadratic function (that models the height of the arch as a function of distance from a specified point) to find the length of each chain. Calculate the coordinates where the tops of the chains will attach to the arch. Show all of your work. Plot and label them on your graph.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
The Gateway Arch monument in St. Louis, Missouri is the tallest man-made monument in the western hemisphere and the tallest arch in the world. It was built in the mid 1960’s as a testament to the westward expansion of the United States. It is 630 feet tall and 630 feet wide (at its base).
Suppose the city of St. Louis wants to celebrate its anniversary by hanging a 14,400 square foot banner from the arch. The bottom of the banner is to be 300 feet above the ground and equally distant from each side of the arch. There will be a chain attaching the top left and right corner of the banner to the arch. Use a quadratic function (that models the height of the arch as a function of distance from a specified point) to find the length of each chain.
Calculate the coordinates where the tops of the chains will attach to the arch. Show all of your work. Plot and label them on your graph.
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