Question

Cann you help me with this using scale factor? PLEASE

Answer 1

Let's begin by listing out the information given to us:

There are 2 triangles in the picture:

`\begin{gathered} h_1=h,h_2=6(1)/(2)ft=(13)/(2)ft,b_1=31(1)/(2)ft=(63)/(2)ft,b_2=9ft \\ h\colon(13)/(2)=(63)/(2)\colon9\Rightarrow(h)/((13)/(2))=(63)/(2\cdot9)\Rightarrow(2h)/(13)=(63)/(2\cdot9) \\ 2h=(63\cdot13)/(2\cdot9)\Rightarrow2h=(7\cdot13)/(2) \\ h=(7\cdot13)/(2\cdot2)=(91)/(4) \\ h=22(3)/(4)ft \end{gathered}`