Respuesta :

By similarity of triangles we have the following relationship:
 (YZ) / (XZ) = (ef) / (df)
 Substituting values we have:
 (10) / (15) = (8) / (df)
 Clearing we have:
 df = (15/10) * (8)
 df = 12 meters
 Answer:
 
The value of DF is given by:
 
df = 12 meters