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Mark wants to determine the height x of a nearby tree

User Siyh
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1 Answer

8 votes

Final answer:

Mark can use a measuring tape to determine the height of a tree and mathematical proportion using cross multiplication to find the unknown height from a model.

Step-by-step explanation:

Mark wants to determine the height x of a nearby tree. To accurately measure the height, one could use a measuring tape, ideally suited for measurements in feet or yards, as a tree's height typically falls within such units. When dealing with the proportion related to heights and models, cross multiplication is a valuable mathematical tool to find the unknown height.

For example, if you have the proportion 1 cm/0.5 m=75 cm/x m for a model, you would cross multiply to get 1x=0.5Γ—75, simplifying to x=37.5 m to determine the tree height based on the model. Similarly, for 1 cm/0.5 m=150 cm/x m, the cross multiplication leads to x=75 m, another example of using proportions to find height.

User Animekun
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