missmackrain8851 missmackrain8851
  • 20-12-2019
  • Mathematics
contestada

A mailbox casts a 4 foot shadow. A nearby tree that measures 12 feet casts a 18 foot shadow. Write a proportion that can be used to determine the height of the mailbox

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SouthernRider
SouthernRider SouthernRider
  • 26-12-2019

Answer:

2.66foot

Step-by-step explanation:

Given a tree which is 12 feet tall casts a 18 feet shadow.

We know that

[tex]Tanx=\frac{height of the object}{length of the shadow}[/tex]

This Tanx is same for the maialbox too so

[tex]\frac{height of the mailbox}{length of the shadow}=\frac{height of the tree}{length of the shadow}[/tex]

[tex]\frac{height}{4}= \frac{12}{18}[/tex]

height = 2.66 foot

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