Q. 4: A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower
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Step-by-step explanation:
SOLUTION: -
Given:
Length of the vertical pole = 6 m • Shadow of the pole = 4 m
Let the height of the tower be h m.
Length of the shadow of the tower = 28 m
Figure Provided in the above attachn
In AABC and ADFE,
ZCZE (angle of elevation)
ZB = F = 90°
By AA similarity criterion:
AABC~ ADFE
• We know that the corresponding sides of two similar triangles are proportional.
AB/DF = BC/EF
6/h = 4/28
h = (6×28)/4
h = 6 x 7
h = 42
• Hence, the height of the tower = 42 m.
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