Given:
Height of man = 6 ft
Height of man's shadow = 11 feet
Height of building's shadow = 139 feet
To find:
The height of the building.
Solution:
We know that the heights of the objects and there shadows are always proportional.
[tex]\dfrac{\text{Height of man}}{\text{Height of man's shadow}}=\dfrac{\text{Height of the building}}{\text{Height of building's shadow}}[/tex]
Let x be the height of the building.
[tex]\dfrac{6}{11}=\dfrac{x}{139}[/tex]
Multiply both sides by 139.
[tex]\dfrac{6}{11}\times 139=x[/tex]
[tex]\dfrac{834}{11}=x[/tex]
[tex]75.8181...=x[/tex]
[tex]x\approx 75.8[/tex]
Therefore, the building is 75.8 feet long.
