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You have two similar triangles with one side the tree, and another the shadow

Using the side with the tree, the ratio of the length of the triangles can be found:

the triangles are in the ratio of 24 : 40

Thus divide the shadow of the 40ft tree by 40 to find out the length of shadow per foot of tree, and multiply this by 24 to find the length of the shadow of the 24 ft tree.

This can be done by using the ratio as a fraction 24/40:

→ the shadow of the 24 ft tree is 16 ft × 24/40 = 9.6 ft

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6y ago
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6y ago

It will be 9.6 feet.

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Q: What would be the length of the shadow of a 24 ft tree when a 40 ft tree casts a 16 ft shadow?
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