A vertical stick 10 cm long casts a show 8 cm long. At the same time a tower casts a shadow 30 m long. Determine the height of the tower.
Let AB be the tower and D
The angle made by sunrays falling on the object will be same at same time.
So In ABC and
DEF
ACB =
DFE
ABC=
DEF (right angle)
180 - ( ABC +
ACB) = 180 - (
DFE+
DEF)
BAC =
FDE (proved)
Hence ABC
DEF.
(Corresponding parts of similar triangle)
.
Hence height of tower is 24 cm.