Respuesta :
Answer:
BE is 44.8 inches long.
Step-by-step explanation:
If [tex]\triangle YPM \sim \triangle WBE[/tex], then we have the following proportion between corresponding sides
[tex]\frac{YP}{WB}=\frac{PM}{BE}=\frac{YM}{WE}[/tex]
We know that [tex]YP=15; PM=32; YM=30;WB=21[/tex]
Replacing this values and solving for [tex]BE[/tex] we have
[tex]\frac{YP}{WB}=\frac{PM}{BE}[/tex]
[tex]\frac{15}{21}=\frac{32}{BE}\\ \\BE=\frac{32(21)}{15}=44.8[/tex]
Therefore, BE is 44.8 inches long.