1. You have learned about special right triangles. Using that knowledge, you decide to take a square cake with 10-inch sides and divide it diagonally to form two special right triangles. Find and explain how you know the exact (no decimals) measure of the hypotenuse.
2. Now find the exact diagonal measure of cakes that are an 8-inch square, a 12-inch square, and a 15-inch square.
3. Did you discover a shortcut that works with any square cake? Explain.
4. Use the following diagram to help in your calculations:
5. Explain how you would use trig ratios to find the height of the tree if you know you are standing 30 feet from the base of the tree when you measure the 37-degree angle.
6. You need to stabilize a flagpole by stringing a guy-wire from the top of a flagpole to the ground. The pole is 15 feet tall, and the angle of elevation with the wire is to be 70 degrees. Using trig ratios, calculate how much wire is needed.

Explain each of your steps to someone who has never learned about trig ratios.