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Monument Project

By : Natasha , Katy , Simone. Monument Project. Steps : 1 : We found K aty’s and Simone’s height 2: Next we found Katy’s and Simone’s height of their shadow

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Monument Project

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  1. By : Natasha , Katy , Simone Monument Project

  2. Steps : 1 : We found Katy’s and Simone’s height 2: Next we found Katy’s and Simone’s height of their shadow 3: Then we used Katy’s height and put in the proportional equation with the height of the monuments shadow and got the height of the monument itself 4: Last we converted the centimeters into feet Fact : For this procedure you needed the sun for its shadow . Procedure A :

  3. 1 : Katy’s Height - 165 cm Key to Conversions : Converted into feet – 5.4 ft. Cm - > ft. : divide by 30.48 2 : Simone’s Height – 164 cm Converted into feet – 5.3 ft. 3 : Katy’s Shadow Height – 261 cm Converted into feet – 8.5 ft. 4 : Simone’s Shadow Height – 276 cm Converted into feet – 9 ft. Procedure A Data :

  4. Proportions set up : Monuments height : (x) Shadow 1 : Monuments shadow height Students height (Simone’s/Katy’s): 5.3 ft. / 5.4 ft. Shadow 2 : Student’s shadow height(Simone’s/Katy’s):9 ft./8.5 ft. Simones’s/Katy’s distance between steps : 64 cm/ 90cm Steps Taken Simones’s/Katy’s : 365 /351 Katy’s Trail : X / 5.4 ft. . = 1036 ft. / 8.5 ft. 8.5 ft. (X) = 5594 ft. 5594 ft. / 8.5 ft. = x X = 658 ft. Simone’s Trail : X/5.3 ft.= 757 ft./ 9 ft. 9 ft. (x) = 4012 ft. 4012ft./9ft = x X= 446 ft Averaged : 658 ft. + 446 ft. =1104 1104/2 = 552 ft. Procedure A Proportion:

  5. Steps : 1 : We had Simone get lined up with the monument ( Her head to the top of the monument) 2 : We used a camera to see if her head was lined up with the tip of the monument 3 : We found the distance from Simone’s position to the monument and from Simone to the camera 4 : Next we added the distances of Simone from the camera and Simone to the monument and found the total 5 : And then we took Simone’s height in the equation 6 : Lastly we did the calculations and found the height of the monument Procedure B :

  6. Camera’s height : 79 cm - > 3 ft. 1 : Katy’s height : 165 cm - > 5.4 ft. 2 : Distance to Katy : 250 cm - > 8 ft. 3 : Distance to Monument : 165 ft. 1 : Simone’s height : 164 cm - > 5.3 ft. 2 : Distance to Simone : 250 cm - > 8ft. 3 : Distance to Monument : 221 ft. Procedure B Data :

  7. Total Distance : 150 x 78 = 1170 cm -> 380 ft. Simone’s height : 164 cm - > 5.3 ft. Cameras height : 79 cm - > 3 ft. X-3 ft. / 5.3ft. = 388 ft. / 8 X-3 / 2.3 = 388/8 8(x-3)=892 8x-24=892 +24 +24 ___________ 8x=916 ft. 916/8= 114.5 -> 115 ft. X= 115 ft. Procedure B Proportion :

  8. Difference : The difference between procedure A and B is that A was based on the shadow and for procedure B it was based on the camera. Similarity : The similarity was that both were ways to find the height of something using different types of strategies . In my opinion I think procedure A was a better strategy to use because it was based on a shadow and since the sun was out it was easy to measure it , also because it had less steps . Procedure B was challenging because it depended on how you held the camera , if it was on the ground or if you kneeled down and it had a height . Comparison :

  9. STOP , DROP , ROLL THE END .

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