How to Calculate the Height of a Tree

How to Calculate the Height of a Tree
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Term 3 Maths Trigonometry Assignment - Task 1

Storyboard Text

  • Hey Andy, I wonder how tall that tree is?!
  • That's a good question Ella! Hmm, I know exactly how we could find out!
  • First of all, with a tape measure, we calculate how far away we are standing from the base of the tree..3 metres exactly!
  • 3m
  • Okay, now that we know how far we are standing from the tree, we can use a clinometer to calculate the angle of elevation of the tree. Ella, could you please read the angle that the string is aligned with?
  • Angle of Elevation is 90-50 = 40 degrees
  • Oh okay, the string on the clinometer is aligned at 50 degrees.
  • Right, so now we know the distance we are standing from the base of the tree and the angle of elevation.
  • x metres
  • Distance = 3 metres 
  • Angle of Elevation = 90-50 degrees =40 degrees
  • Finally, we calculate my height! Ella, with a tape measure can you please measure how tall I am? Then we can go home and calculate the height of the tree!
  • We can add this measurement to the total height of the tree.
  • Sure, mmm... you are exactly 5 metres tall.
  • Okay Ella, now that we are home we can calculate the height of the tree!
  • Using the Tan Trigonometric Ratio we can calculate the height by: Tan Theta = Opposite divided by adjacent Tan 40 = 'x' divided by 3 x = Tan 40 times 3 x = 3 (nearest whole number) Therefore 5 metres (height of person) plus 3 metres equals 8 metres - the total height of the tree!
  • Great, let's get to it!
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