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Intereskedmeasuring It helqnt Mark how toll the tree?Hc measures the length the trec's ahadovHerk {ct Incher.(ect; thte uarc Ume; hIs own shdok...

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Intereskedmeasuring It helqnt Mark how toll the tree?Hc measures the length the trec's ahadovHerk {ct Incher.(ect; thte uarc Ume; hIs own shdok

Interesked measuring It helqnt Mark how toll the tree? Hc measures the length the trec's ahadov Herk {ct Incher. (ect; thte uarc Ume; hIs own shdok



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To determine the height of a pine tree, you measure the shadow cast by the tree and find it to be 20 feet long (see figure). Then you measure the shadow cast by a 36 -inch tall oak sapling and find it to be 24 inches long. Estimate the pine tree's height.

In this question that the high and the fine Okay, it will x Hey. And then Oh, the shadow. What's the point? E? It will running deep. Okay? No, it is given that Yeah, the high off, uh, okay is equal to 36 engines. Then the then off the oak tree equals go and do for engages. No. The initial off, the height and the land of the pine and oak trees are equal. That is X divided by 20 is equal. Go. Our basic, Steve. I did blow. It wouldn't be on multiplying the 20 on this side on divide and multiply. Bigger X is equal to r D. Therefore, I all star Fine. Ready? It will go. Thank you. Okay.

So we're given CD and beady. We also need to know the length of D E to find a B, so we need D.

So from number six are proportion. We said that a B corresponds to CD and B E corresponds to d. So we're trying to figure out a b were given cd a six and the only thing that we don't we know is B d So we know that d e is gonna be 10 and we need to find to be eat So be is actually b d plus d e So we know D is 10 and then we're given three d is 20 so b e iss 30 So now we can cross multiply So maybe 10 times 10 is a 10 times a B six times 30 is 180. Divide off my 10 and a B equals 18 feet So that's how tall the tree is.

So for this proportion, a B is going to correspond to CD and be is going to correspond to D.


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