Monument Project

Monument ProjectBy : Natasha , Katy , Simone

Procedure A :Steps :

1 : We found Katys and Simones height

2: Next we found Katys and Simones height of their shadow

3: Then we used Katys 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 Data :1 : Katys Height - 165 cm Key to Conversions : Converted into feet 5.4 ft. Cm - > ft. : divide by 30.48

2 : Simones Height 164 cm Converted into feet 5.3 ft.

3 : Katys Shadow Height 261 cmConverted into feet 8.5 ft.

4 : Simones Shadow Height 276 cmConverted into feet 9 ft.

Procedure A Proportion:Proportions set up : Monuments height : (x) Shadow 1 : Monuments shadow height Students height (Simones/Katys): 5.3 ft. / 5.4 ft.Shadow 2 : Students shadow height(Simones/Katys):9 ft./8.5 ft.Simoness/Katys distance between steps : 64 cm/ 90cmSteps Taken Simoness/Katys : 365 /351

Katys Trail : X / 5.4 ft. . = 1036 ft. / 8.5 ft. 8.5 ft. (X) = 5594 ft.5594 ft. / 8.5 ft. = xX = 658 ft.

Simones Trail : X/5.3 ft.= 757 ft./ 9 ft.9 ft. (x) = 4012 ft.4012ft./9ft = xX= 446 ft

Averaged : 658 ft. + 446 ft. =11041104/2 = 552 ft.Procedure B : 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 Simones 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 Simones height in the equation

6 : Lastly we did the calculations and found the height of the monument

Procedure B Data : Cameras height : 79 cm - > 3 ft. 1 : Katys height : 165 cm - > 5.4 ft.2 : Distance to Katy : 250 cm - > 8 ft. 3 : Distance to Monument : 165 ft.

1 : Simones height : 164 cm - > 5.3 ft.2 : Distance to Simone : 250 cm - > 8ft. 3 : Distance to Monument : 221 ft.

Procedure B Proportion :Total Distance : 150 x 78 = 1170 cm -> 380 ft. Simones height : 164 cm - > 5.3 ft.Cameras height : 79 cm - > 3 ft. X-3 ft. / 5.3ft. = 388 ft. / 8X-3 / 2.3 = 388/88(x-3)=8928x-24=892 +24 +24___________

8x=916 ft.916/8= 114.5 -> 115 ft.X= 115 ft.

Comparison : 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 .THE END . STOP , DROP , ROLL