## 8TH gRADE sUMMER pROJECT

**SHADOW HEIGHTS PROJECT**

Did you know you can find the height of a tall building, a tree and other tall objects by measuring the length of their shadow? In this project you will use ratios and proportions of smaller objects to find the height of larger objects. (Similar Figures) You can also use the information you found to find the distance between the top of the taller object to the end of the shadow. (Hypotenuse)

**Materials:**

· Tape measure

· A measurable object (broom, mop, yardstick etc)

· Poster board (to show results)

· Ruler

**Task:**

*How to find the benchmark ratio of your measureable object: (see diagram below)*1.) On a sunny day go outside with your measurable object of your choice (broom, yardstick etc.)

2.) Measure the length of the object and record your results

3.) Place your measureable object so it is standing straight up and casts a shadow on the ground

4.) Measure the length of the Shadow

5.) Record your results and draw a proportional picture which will be placed on a poster board at the end

*How to find the length of a tall object*1.) Measure the shadow of a tall object

2.) Use ratios and proportions to find the height

3.) Each time you need to find the height of a new object, make sure you remeasure the shadow of the measureable object because the placement of the sun can change your shadow length and your figures may not be proportional

*Find the Height and Hypotenuse of the Eiffel Tower based on the problem below - SHOW ALL WORK*

*Use the chart below to record your results:***:**

*Displaying Your Results*You are going to display your results on a poster. Your poster must include:

· Proportional pictures of your measureable object and your tall object (like the diagram above)

· All mathematics used to find the height and hypotenuse of the tall object

· A short paragraphing explain the method you used to find the height

· The chart were you placed your data

· All objects labeled clearly

· A detailed paragraph describing how the sun affected the length of the shadow of your measureable object. Make sure you include evidence based on your findings.

· A short paragraph for each object measured stating why knowing the hypotenuse may be important in real life (Research may be required here)

· YOUR POSTER MUST BE ORGANIZED AND “EYE CATCHING”