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!
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.
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!