Question

Ahouseis13feettall.Itsshadowis40feetlongatthesametimetheshadowofanearbybuildingis340feetlong.Findtheheightofthebuilding.

Answer 1

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

`\begin{gathered} (x)/(340)=(13)/(40) \\ x=(13(340))/(40)=110.5\text{ f}eet \end{gathered}`

the height of the building is 110.5 feet