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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 3-ft stick in the ground casts a shadow of 2.4 ft, find the height of a tree that casts a shadow
that is 28.16 ft.



Answer :

The height of a tree that can cast a shadow of 28. 16 ft is 35. 2 ft

How to determine the height

From the information given, we have that;

  • A 3-ft stick casted a shadow of 2. 4ft
  • Then 'x'bfeet tree would a shadow of 28. 16 ft

To determine the proportion we represent the expression as;

If 3ft casts a shadow of 2. 4ft

Then x ft can cast a shadow of 28. 16ft

cross multiply

x = 28. 16 × 3/ 2. 4

Multiply the numerators

x = 84. 48/ 2.4

x = 35. 2 ft

Thus, the height of a tree that can cast a shadow of 28. 16 ft is 35. 2 ft

Learn more about proportion here:

https://brainly.com/question/870035

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