The height of the power line is 8m, and the height of the girl is 175 cm.

The height of the power line is 8m, and the height of the girl is 175 cm. What is the length of the shadow from the pole, if the shadow of the girl is 3m 20cm.

We have 175 cm = 1.75 m; 3 m 20 cm = 3.2 m.
It is clear that ∠ACВ = ∠DFE = 90 °.
Since the light source is very far from the place of observation, it is seen practically at the same angle from points B and E, that is, ∠ABC = ∠DEF.
According to I of the sign of similarity of triangles, ΔABC and ΔDEF are similar; AC: DF = BC: EF.
Hence, (1.75 m): (8 m) = (3.2 m): EF, whence the length of the shadow of the pillar EF = 512/35 m ≈ 14 m 63 cm.
Answer: 512/35 m ≈ 14 m 63 cm.