A40-foot flagpole casts a 25-foot shadow. find the shawdow cast by a nearby building 200 feet tall.

The length of the shadow cast by the nearby building using the proportional relationship between the measure of the building and flagpole will be 125 feets

To obtain the length of the shadow cast by the building :

Length flagpole = lf = 40 feets

flagpole shadow = sf = 25 feets

Length building = lb = 200 feets

shadow of building = sb =?

(lf / sf) = (lb / sb)

(40 / 25) = (200 / sb)

Cross multiply :

40 × sb = 200 × 25

40 × sb = 5000

sb = 5000 / 40

sb = 125 feets

Therefore, the length of the shadow cast by the building will be 125 feets

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