A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shadow that is 3 feet long

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

--- (1)

where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.

From the given information,

BC = 36 feet

FD = 4 feet and DE = 3 feet

(1) becomes

AB = 48

Hence, the height of the lighthouse is 48 feet.

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step-by-step explanation:

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3