Question

A pole that is 2.6 m tall casts a shadow that is 1.38 m long. At the same time, a nearby building casts a shadow that is 40.75 m long. How tall is the building? Round your answer to the nearest meter.​

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Melanie L. asked • 03/08/16

a pole that is 3.3m tall casts a shadow that is 1.78m long. at the same time, a nearby building casts a shoadow that is 49.75 m long. how tall is the building?

a pole that is 3.3m tall casts a shadow that is 1.78m long. at the same time, a nearby building casts a shoadow that is 49.75 m long. how tall is the building? Round to the nearest meter.

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Jane C. answered • 03/08/16

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Hi Melanie!

This problem involves proportion.

Let x be the unknown, which is the height of the building.

height of pole = height of the building

height of the shadow height of the shadow

3.3 m = x

1.78 m 49. 75 m

Solve for x.

(3.3 m) (49.75 m) = x

1.78 m

92.2331460674 = x

Rounded to the nearest meter, the building is 92 meters high.

Hope that helps.

The fraction bars are not coming out (Underline), I don't know why... but yeah, that is the answer.