height of a tree

height of a tree
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Storyboard Text

  • Hey, I wonder what the height of this tree is. Let's use triginometry to solve this problem. 
  • Here I have an object called a clinometer. By looking through the straw towards the top of the tree, I am able to find the angle from the tree to myself by looking at the string touching the protractor. 
  • The angle is 45 degrees! This means it is a right angled triangle.
  • 45
  • The next step is to find the distance between myself and the base of the tree. 
  • 550 cm
  • The distance is 550 centimetres!
  • 180 cm
  • The next step is to measure the distance from my eyes to the ground. It is 180 centimetres. 
  • x
  • We now have formed a triangle with sides and angles, in which can provide us with the complete height of the tree.  The first step to this is finding x, with the following equation;
  • 550 cm
  • 45
  • 180 cm
  • Then, we add the height of the distance from my eyes to the ground (180) and receive the overall height of the tree. Height of tree = 180 + 550 = 730 cm
  • The equation that will help us find out the height of the tree is:
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