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At a given time of day , the ratio of the height of an object to the length of its shadow is the same for all objects. If a 4-ft stick in the ground casts a shadow of 2.4 ft, find the height of a tree that casts of shadow that is 23.04ft.

Respuesta :

sqdancefan

Answer:

  38.40 ft

Step-by-step explanation:

The problem statement tells you the proportion is ...

  height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)

Multiplying by 23.04 ft, we find ...

  tree height = (23.04 ft)(4/2.4) = 38.40 ft

The height of the tree is 38.40 ft.

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