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A tree cast a 25 foot shadow. At the same time, a 6 foot pole cast a shadow 4.5 feet long. How tall is the tree

Sagot :

Intriguing456

Answer:

[tex]33\frac{1}{3}[/tex] ft

Step-by-step explanation:

Think about the ratio of shadow to actual height.

First, make a ratio table demonstrating the scale factor of the shadow to the height of the object:

height   :   shadow

6 ft        :    4.5 ft

To get rid of the decimal, multiply by 10 on both sides:

60 ft      :    45 ft

In order to get the shadow to 25 ft, multiply both sides by 25/45, which simplifies to 5/9:

height   :   shadow

6 ft        :    4.5 ft

60 ft      :    45 ft

*(5/9)     :    *(5/9)

33 1/3 ft :    25 ft

The answer is the height corresponding to the shadow length 25 ft in the table, in this case, [tex]33\frac{1}{3}[/tex].

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