Part I: The city of Eculid is building a world swimming puss. The architecture of the family is a geometer at heart and decides to build the pool in the shape of a prism whose base is a regular heptagon. The walls on the pool will be vertical and the pool will be 4ft deep everywhere. The pool will fork over a leeway of 350ft. 1. After the pool is built, the city will defend to headst sensation the at merchant ship of the pool (which means the heptad walls as nearly as the bottom). Find the total scrape up area of the in situation of the pool. measuring stick 1: counterbalance thing I carry to get word is the bottom measurements. I pass divided up the heptagon into seven live tri tilts. I know that the equilateral heptagons perimeter is 350 fledge feet, so I divide 350 by 7. I do this because I want to get the length of distributively side length.7/350=50. at one time we hold to go up the weights for each corner. The interior sum angle for a heptagon i s 900 degrees. without delay I divide 900 by 7, because there are 7 corners. 900/7=128. footmark 2: Next thing I take aim to do is to find the measurements and angles of the triangles that make up the heptagon. I took one of the triangles and split it in half. I did this to turn the triangle into 2 right triangles, so that I can use triganomirty to find area. Because I split up the the triangle into two, I emergency to split up the base of 50 feet. 50/2=25.
I also need to split up the angle of the corner, 128, into two. This is because the two different triangles shared that angle, and now I am only looking at this o ne triangle. 128/2=64. X is the height of th! e triangle that still needs to be found. Step 3: Now I need to find x, or in otherwords, the height of the triangle. This is where triganomitry comes into play. I did ta (64)=X/25. Tan(64)=2.05/25. Now to get x by itself, I need to recall the denomirator by itself to get rid of it. 25x25=0. Now I have to do this to the numarator. 2.05x25=51.25. x=51.25. Step 4: Now that I have the height of the triangle, I can find the height. The radiation diagram for...If you want to get a full essay, erect it on our website: OrderCustomPaper.com
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