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

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

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

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

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

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 / 2 = Prove the Height of the Pyramid of Khafre

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.