The height of building is 35 feet
Solution:
Given that,
Sam is 6 feet tall and his shadow is 3.6 feet tall
The shadow of building is 21 feet long
To find: height of building
We can solve this by setting up a ratio comparing the height of the building to the height of the Sam and shadow of the building to the shadow of the Sam
Let us consider,
[tex]h_b[/tex] = height of building
[tex]h_m[/tex] = height of Sam
[tex]s_b[/tex] = shadow of building
[tex]s_m[/tex] = shadow of Sam
Therefore,
[tex]\frac{\text {height of building}}{\text {shadow of building}}=\frac{\text {height of Sam}}{\text {shadow of Sam}}[/tex]
[tex]\frac{h_{b}}{S_{b}}=\frac{h_{m}}{S_{m}}[/tex]
Substitute the values,
[tex]\begin{aligned}&\frac{h_{b}}{21}=\frac{6}{3.6}\\\\&h_{b}=\frac{6}{3.6} \times 21\\\\&h_{b}=35\end{aligned}[/tex]
Thus height of building is 35 feet
