Finding heights of objects by comparing shadow lengths

Finding heights of objects by comparing shadow lengths! So how could I estimate the height of this tree? s

Finding heights of objects by comparing shadow lengths! So how could I estimate the height of this tree? First I need to measure it’s shadow? s

Finding heights of objects by comparing shadow lengths! So how could I estimate the height of this tree? First I need to measure it’s shadow? The shadow measures 10 feets in length!

Next I need a similar type triangle so that I will have a proportion. s

Next I need a similar type triangle so that I will have a proportion. I found a 4 foot stick so now I hold it perpendicular to the ground so that the sun will create a shadow and be similar to the tree.

Next I need a similar type triangle so that I will have a proportion. I found a 4 foot stick so now I hold it perpendicular to the ground so that the sun will create a shadow and be similar to the tree. The shadow measures 2 feet

Now I have two similar triangles with equal ratios of height and shadow length

Now in this case it is obvious that the tree is 20 feet tall because the shadow is ½ of the object or the object is twice as tall as the shadow is long so twice 10 feet is 20! 20 Feet

Now in this case it is obvious that the tree is 20 feet tall because the shadow is ½ of the object or the object is twice as tall as the shadow is long so twice 10 feet is 20! Still you need to learn how to set up the algebraic equation and solve for the equal proportion so here goes! 20 Feet

Now I have two similar triangles with equal ratios of height and shadow length Tree Height Tree Shadow Length = Stick Height Stick Shadow Length

Tree Height is unknown so we will assign variable X. Tree shadow is 10, Stick Height is 4, and stick shadow is 2. Put these numbers in the proportion below! Tree Height Tree Shadow Length = Stick Height Stick Shadow Length

Tree Height is unknown so we will assign variable X. Tree shadow is 10, Stick Height is 4, and stick shadow is 2. Put these numbers in the proportion below! X 10 = 4 2

Now I set up an algebraic equation by cross multiplying the ratios. X 10 = 4 2

My equation now would be 2 X = 4(10) or 2 X = 40 X 10 = 4 2

2 X = 40 2 2 X = 20 X 10 Divide both sides by 2 Tree Height is 20 feet = 4 2

Therefore the tree is 20 feet tall! X 10 20 Feet = 4 2

Use what you know to determine how tall Mighty Mouse is compared to Frankenstein. 25 feet tall 20 foot shadow 3 foot shadow