Question

Part 1 Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario. Write out your problem and submit it for Part 1. Be sure to end your scenario with a question. Part 2 Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing. Part 3 Solve the question that you posed in Part 1. Show all of your steps in answering the question. For this option, you will need to submit all three parts for full creditâ€"your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. *Please note that your instructor is looking for your own original idea. While it is acceptable to use the Internet for research and inspiration, academic integrity policies apply.

Answer 1

Explanation:

Draw a diagram of a vertical wall with a ladder leaned against it.

You can say that the ladder is 8 meters long and the distance from the bottom of the ladder to the base of the wall is 2 meters..

Then ask the question At what height on the wall is the top of the ladder?

This is calculated using the Pythagoras theorem - the ladder is the hypotenuse used of the right angled triangle formed by the wall, ladder and the ground.

8^2 = x^2 + 2^2 where x is the required height.

x^2 = 8^2 - 2^2

x^2 = 60

x = sqrt60

= 7.75 meters to nearest hundredth.