A street light bulb is fixed on a pole 6 m. above the level of the street. If a woman of height 1.5 m casts a shadow of 3 m, then find how far she is away from the base of the pole.


Let P be the position of the street bulb fixed on a pole PQ = 6m.

CD = 1.5 m be the height of a woman


ED = 3 m. (Shadow of women)


Let distance between pole and woman be x meter.



Here, woman and pole both are standing vertically.


So,


CD || PQ


In ∆CDE and ∆PQE,


E [common angle]


PQE = CDE [each equal to 90°]


∆CDE ∆PQE [by AAA similarity criterion]


Then,



Hence,


She is at the distance of 9 m from the base of the pole.


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