# How to Calculate the Height of a Tree

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#### Storyboard Description

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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