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Prove the Height of the Pyramid of Khafre Find the height of a square based pyramid knowing the base dimensions and angle of incline. a a.

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Presentation on theme: "Prove the Height of the Pyramid of Khafre Find the height of a square based pyramid knowing the base dimensions and angle of incline. a a."— Presentation transcript:

1 Prove the Height of the Pyramid of Khafre Find the height of a square based pyramid knowing the base dimensions and angle of incline. a a

2 Start by splitting the base in half with a right angled line. a/2

3 Second, split one of the side up the middle. a/2 ө

4 Thirdly, draw a line from the tip of the pyramid to the center of the base. This is the height. h a/2 ө

5 There now exists a right angled triangle with a known base and angle of incline. ө h a/2

6 Therefore, the height of the Pyramid of Khafre is 143.8m ө h a/2 Calculate h when: a = 215.5m ө = 53.16° tan ө = opposite / adjacent tan 53.16° = h / (215.5/2) h = tan(53.16°) x 215.5 / 2 = 143.8 Prove the Height of the Pyramid of Khafre

7 Calculate the height of the Pyramid of Khufu Measure the base dimensions of Pyramid of Khufu using in Google Earth. The angle of incline is 53°50’40” (53.84°) Verify your answer by using the measure tool in Google Earth.


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