CorbynS420776 CorbynS420776
  • 27-10-2022
  • Mathematics
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Ahouseis13feettall.Itsshadowis40feetlongatthesametimetheshadowofanearbybuildingis340feetlong.Findtheheightofthebuilding.

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AfiyaO661839 AfiyaO661839
  • 27-10-2022

the red triangle is the building

the black triangle is the house

x is the height of the building

we have a problem of Tales triangles semblants so we can use this equalities

[tex]\begin{gathered} \frac{x}{340}=\frac{13}{40} \\ x=\frac{13(340)}{40}=110.5\text{ f}eet \end{gathered}[/tex]

the height of the building is 110.5 feet

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