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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