Question

sam has to climb to the top of the building for his firefighter training. he doesn’t know how high it is. he is 6ft y’all and his shadow is 3.6ft. the shadow of the building is 21ft long. how tall is the building

Answer 1

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,

$h_b$ = height of building

$h_m$ = height of Sam

$s_b$ = shadow of building

$s_m$ = shadow of Sam

Therefore,

$\frac{\text {height of building}}{\text {shadow of building}}=\frac{\text {height of Sam}}{\text {shadow of Sam}}$

$\frac{h_{b}}{S_{b}}=\frac{h_{m}}{S_{m}}$

Substitute the values,

$\begin{aligned}&\frac{h_{b}}{21}=\frac{6}{3.6}\\\\&h_{b}=\frac{6}{3.6} \times 21\\\\&h_{b}=35\end{aligned}$

Thus height of building is 35 feet