cyoung443
cyoung443 cyoung443
  • 15-08-2021
  • Mathematics
contestada

How high is a tree that cast a26ft shadow at the same time a 6ft post casts a shadow which is 11ft long

Respuesta :

aklee18oo
aklee18oo aklee18oo
  • 15-08-2021

Answer:

[tex]14\frac{2}{11}[/tex] ft

Step-by-step explanation:

Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:

[tex]\frac{x}{26} =\frac{6}{11}[/tex]

Now, to solve for x, we can cross-multiply:

11x = 6*26

11x = 156

x =  [tex]14\frac{2}{11}[/tex]

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