A tree casts a shadow that is 7 feet long. At the same time of day, a nearby fire hydrant, 2.5 feet tall, casts a shadow that is 3

A tree casts a shadow that is 7 feet long. At the same time of day, a nearby fire hydrant, 2.5 feet tall, casts a shadow that is 3 feet long. Which proportion can be used to find the height, h, of the tree?

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  1. The height, h, of the tree is 7/h = 3/2.5

    Which proportion can be used to find the height, h, of the tree?

    7ft/h = 3ft/2.5ft
    • To find the height of the tree, h, we can use the proportion 7ft/h = 3ft/2.5ft.
    • This proportion states that the length of the tree’s shadow (7ft) divided by the height of the tree (h) is equal to the length of the fire hydrant’s shadow (3ft) divided by its height (2.5ft).
    We can solve for h by cross-multiplying and dividing. 7ft x 2.5ft = 17.5ft. 17.5ft / 3ft = 5.8ft.
    This means that the height of the tree is 5.8ft.
    To check our answer, we can use the proportion again.
    By substituting 5.8ft for h, we get 7ft/5.8ft = 3ft/2.5ft, which is true.
    This confirms that the height of the tree is 5.8ft.
    • This proportion can be used to find the height of any object when the lengths of the shadows cast by both the object and a known object at the same time of day are known.
    To learn more about proportion refer to:
    #SPJ1

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