13.1: Notice and Wonder: Long Shadows and Short Shadows
What do you notice? What do you wonder?
Let’s use shadows to find the heights of an object.
What do you notice? What do you wonder?
Here are some measurements that were taken when the photo was taken. It was impossible to directly measure the height of the lamppost, so that cell is blank.
height (inches) | shadow length (inches) | ||
---|---|---|---|
row 1 | younger boy | 43 | 29 |
row 2 | man | 72 | 48 |
row 3 | older boy | 51 | 34 |
row 4 | lamppost | 114 |
Make a conjecture about the height of the lamppost and explain your thinking.
Explain why the relationship between the height of these objects and the length of their shadows is approximately proportional.
Choose an object whose height is too large to measure directly. Your teacher may assign you an object.
Use what you have learned to figure out the height of the object! Explain or show your reasoning.