First, watch this video to learn some of the history of the Eiffel Tower and familiarize yourself with it.
Watch this video and write a short paragraph about how we could use angle measurements to make sure each leg is the same height (consider the fact that if each level is horizontal, then it is parallel to the ground). Draw a simple diagram to go with your paragraph.
Suppose I want to be exactly 2000 meters from the tip of the Eiffel Tower. Use the Pythagorean Theorem to calculate where (on the ground) I need to stand. (Note: you will have to look up the height of the Eiffel tower). Download this picture and add a triangle to demonstrate how you got your answer.
Now watch this video of a gentleman who compares the ratios of his small model to the actual Eiffel Tower. Use the measurements he gives of the actual tower to create an isosceles triangle with the height equaling the height of the tower, and the base equaling the length of the base of the actual tower. Next draw a similar triangle where the base is between 8-12 cm. (note: neither of the triangles that you draw will be “to scale.” The purpose of them is to help you calculate the dimensions of your smaller model. Once you get your dimensions, create your own model of the Eiffel Tower to remember our trip! (Note: This model will be more of a tall pyramid at first, but feel free to use your knowledge of similar shapes and ratios to include more detail! Consider other similar triangles that may be helpful.)
Model of the Eiffel Tower… Determining the Scale (as a Ratio)
Before we leave, write a short journal entry that summarizes what you have learned during our trip to the Eiffel tower. Include examples of how you might be able to use similar math techniques in your own life.