Answer:
Length of the building = 30 meters
Step-by-step explanation:
Given:
Length of pole = 5 meters
Length of shadow of pole = 3 meters
Length of shadow of the building = 18 meters
To find length of the building.
Solution:
On drawing the figure of the given situation, we get two similar triangles.
Applying proportionality theorem of similar triangles.
[tex]\frac{AB}{BC}=\frac{DE}{EC}[/tex]
Plugging in the given lengths.
[tex]\frac{AB}{18}=\frac{5}{3}[/tex]
Multiplying both sides by 18.
[tex]\frac{AB}{18}\times 18=\frac{5}{3}\times 18[/tex]
[tex]AB=\frac{90}{3}[/tex]
[tex]AB=30[/tex]
Thus, length of the building = 30 meters
