Question

A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m long. How tall is the tower? Round your answer to the nearest meter. Show work as well.

Answer 1

The tower is 61.65 meters tall.

SOLUTION:

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.  

At the same time, a nearby tower casts a shadow that is 36.25 m long.  

We have to find height of the tower.  

Now, we know that,

$2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }$

Then, (let it be) n meter tall $\rightarrow$ 36.25 long shadow

So, by cross multiplication method,

$\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}$

This can be written as,

$\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}$

Cross multiplications steps: (To find Single Variable)

1. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
2. Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
3. Set the two products equal to each other.
4. Solve for the variable.