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How Tall Is That Tree?

Measure tree height with out climbing!

What if you want to measure the height of a tree without climbing to the top with a tape measure? In this activity we’ll learn a couple of simple methods. And as a bonus we’ll learn to do it with trigonometry.

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There’s more then one way to measure tree height. This video shows two other methods:

So now we’ve seen three methods. All three work on the same principle of projecting the height of the tree onto the ground and then measuring the distance on the ground. This diagram might help understand:

Notice that the height of the tree (X) and distance on the ground (also X) are the same.

Ok now let’s do some math! Watch the following video to see the problem solved with trigonometry.

Now it’s your turn

  1. Choose a method
  2. Go outside
  3. Find a tree (or a tall building if there are not trees)
  4. Measure the tree
  5. Tell us about it in your journal.

 

Journal Questions
  1. How tall was the tree? If possible please include a picture of the tree.
  2. Which method did you use for the measurement?
  3. Can you think of other ways to measure the height of a tree?

Earn badges and qualify for prize drawing by registering and answering journal questions. It's fun and easy!

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Topics

Grade Level
2-3
4-5
6-8
9-12
K-1

Creator

Various
Mick Grewcock, BenedictRUK, Mathispower4u

Curator

STEAMfest

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  Photography by: Georgina Emily Photography

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