Question

A pole that is 3.5m tall casts a shadow that is 1.47m long. At the same time, a nearby tower casts a shadow that is 42.75m long. How tall is the tower? Round your answer to the nearest meter

Answer 1

Answer:

Therefore the height of the tower is 101.79 m.

Step-by-step explanation:

The ratio of the height of an object to the shadow of the object is always constant at certain time.

$\frac{\textrm{The height of object}}{\textrm{The shadow of the object}}= constant$

$\Rightarrow \frac{h_1}{s_1}=\frac{h_2}{s_2}$

Given that,the length of the pole is 3.5 m and it casts a shadow that is 1.47 m long.

The length of shadow that castes by a tower is 42.75 m long.

Here h₁= 3.5 m, s₁=1.47 m, h₂= ? and s₂=42.75 m

$\therefore \frac {3.5}{1.47}=\frac{h_2}{42.75}$

⇒3.5 ×42.75 = h₂× 1.47

$\Rightarrow h_2=\frac{3.5 \times 42.75}{1.47}$

⇒h₂ = 101.79 m (approx)

Therefore the height of the tower is 101.79 m.