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The Measurements I Know
Indirect Measurement; Using Indirect Measurement and Proportions
to Find the Height of an Object
The Trigs

This song is available on The Trigs' [geometric]

I'd like to know the height of / The tree out in my backyard
But I don't have a way to / Measure something that large
So here's what I will do / I'll stick a stick into the ground
'Cause I can measure that and then / use indirect measurement
To find / the height / of the tree

Because I can measure the shadows of / the tree and the stick which will help because
The shadows and the heights make similar triangles
So all I need to do is solve / a proportion that pulls together all
The measurements that I know

The height of the stick, well, it is 4 feet / and its shadow it is only three
So I can make a ratio / to show both of the facts I know
The shadow of the tree is 15 feet / and the height is something of a mystery
So I'll make the exact same ratio / height over shadow and we're ready to go
and find / the height / of the tree

First I will cross-multiply / and then I will need to divide
And then I will know the tree's height
When I multiply I get / 3x = 60 then
I divide and find the height is 20 feet (20 feet)



See more of our Geometry, Math and Advanced Math Song Lyrics

Many thanks to The Trigs for permission to display these lyric excerpts.
© The Trigs. All rights reserved. Used with permission.

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