Jason observed a large art sculpture in a local park and wanted to know its height, but the sculpture was much taller than he could measure. Jason measured the length of the shadow of the sculpture's highest point to be 12 feet long. If the top of a slide in the same park, measured at the same time of day, has a height of 70 inches and a shadow length of 42 inches, how tall is the art sculpture at its highest point?

Question

19-02-2018
Mathematics

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Jason observed a large art sculpture in a local park and wanted to know its height, but the sculpture was much taller than he could measure. Jason measured the length of the shadow of the sculpture's highest point to be 12 feet long. If the top of a slide in the same park, measured at the same time of day, has a height of 70 inches and a shadow length of 42 inches, how tall is the art sculpture at its highest point?

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hajahdbhe hajahdbhe · Answer 1 · 2018-02-19T22:03:38+01:00

hajahdbhe hajahdbhe

19-02-2018

the art sculpture was 70 inches aka 5.9feet tall and if we round it well it would be 6feet so that would be its highest piont

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mahendravt mahendravt · Answer 2 · 2022-08-19T14:01:37+02:00

The height of the art sculpture at its heighest point is 7 feet.

What is ratio and proportion?

A ratio is a comparison of two quantities. A proportion is an equality of two ratios.

Now in the given question it is said that,

the length of the shadow of the sculpture's highest point to be 12 feet long

and,top of a slide has a height of 70 inches and a shadow length of 42 inches

Now let us suppose the height of the art sculpture be x

Then,The ratio of height of the sculpture to its shadow at that particular time should be equal to the ratio of the height of the slide to its shadow.

⇒ x/12feet = 42 ft/72inches

Solving above we get,

⇒ x = 7 feet

Hence,the height of the art sculpture at its heighest point is 7 feet.

More about ratio and proportions :

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