In the figure, the person is 6 ft tall and his shadow is 5 ft long. The tree’s shadow is 8 ft long. What is the height of the tree? Show all work.

In the figure the person is 6 ft tall and his shadow is 5 ft long The trees shadow is 8 ft long What is the height of the tree Show all work class=

Respuesta :

Answer: 9.6 feet

Step-by-step explanation:

We can create a proportion using the diagram and the information given.

      [tex]\displaystyle \frac{h}{8} =\frac{6}{5}[/tex]

Next, we will cross-multiply.

      h * 5 = 8 * 6

      5h = 48

Divide both sides of the equation by 5.

      h = 9.6 feet

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