Answer:
The length of BE is 44.8 inches.
Step-by-step explanation:
Given information: [tex]\triangle YPM\sim \triangle WBE[/tex], [tex]YP=15[/tex] inches, [tex]PM=32[/tex] inches,[tex]WB=21[/tex] inches and [tex]YM=30[/tex] inches.
Two triangle are similar if corresponding interior angles are same and corresponding sides are proportional.
Since [tex]\triangle YPM\sim \triangle WBE[/tex], therefore
[tex]\frac{YP}{WB}=\frac{PM}{BE}=\frac{YM}{WE}[/tex]
[tex]\frac{15}{21}=\frac{32}{BE}[/tex]
[tex]BE\times 15=32\times 21[/tex]
[tex]BE=\frac{32\times 21}{15}[/tex]
[tex]BE=44.8[/tex]
Therefore the length of BE is 44.8 inches.
