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Geometry and Outer Space

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emma fiore

on 4 January 2013

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Transcript of Geometry and Outer Space

photo credit Nasa / Goddard Space Flight Center / Reto Stöckli By: Emma Fiore Geometry and Outer Space Introduction Astronomy would not be possible without using geometry in all of their research. It is extremely important in this career. Some uses of geometry are finding stars and mapping them, recording the distance between earth and other planets, finding the volume of air tanks, finding the surface area/volume of planets, and using the angle of elevation and depression to see through a telescope. These are only of a few ways geometry is helpful to astronomers. Problem one During 500 years a star moves from point (10,20) to (35,5) on a map. How far will the star have traveled after 500 more years? Problem two a new planet was just discovered and scientists want to know how much bigger the surface area of Earth is compared to this planet. Use the radius 10540 for earth and 2300 for the other planet. Problem three Bob is going into space in a few hours. He needs to calculate the amount of air his tank is going to be about to hold and how long he can survive. The tank is a cylinder with a height one 8in and a radius of 5in. If he can last one hour for every 4cubic inches, how long could Bob be in space. Step one: plug in the coordinates in the distance formula (10-35)² + (20-5)²

next solve in the parenthesis (10-35)²= -25² = 625

(20-5)²= 15² =225

the next step is to add 225 and 625. Then you get 850. 850 = 29.2 The last step is to multiply 29.2 by two so you get the total distance as 58.4 Step one is to plug in the radius of earth to the surface area of a sphere equation 4π10540² next solve the eqation 10540² = 111,091,600
times four is 444,366,400
444,366,400π = 1,395,310,496 Then repeat the process for the other planet 4π2300² = 5,290,000 time 4π
= 66,442,400 The last step is to subtract 1,395,310,496-66,442,400
and you get 1,328,868,096
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