1. Determine the height of a Square-Based Triangle 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. Feature Problem #1 Calculate the height of the Pyramid of Khufu knowing the base dimensions by either the following methods: –measuring the base dimension using Google Earth or by researching the –Research the base dimension at www.ask.aladdin.com/pyramid.htm The angle of incline is 53°50’40” (53.84°) Extra Activity - Verify your answer by using the measure tool in Google Earth.

8. Feature Problem #2 Calculate the angle of incline for the Pyramid of Menkaure knowing the base and height dimensions by either the following methods: –Measuring the dimensions using Google Earth –Research the required dimensions at www.ask.aladdin.com/pyramid.htm