Question

a five foot boy casts a 2 foot shadow. At the same time the shadow of the court house tower is 25 feet in length. How tall is the court house tower

Answer 1

The court house tower should be 51 feet tall.

Explanation:

2.5+2.5=5 feet because 2+2=4 and 0.5+0.5=1. 4+1=5

25.5+25.5=51 because 25+25=50 and 0.5+0.5=1. 50+1=51

Answer 2

The court house tower is 62.5 feet tall

Explanation:

A five foot boy casts a 2 foot shadow.

Height of boy = 5 feet

Height of shadow of boy = 2 feet

`\frac{\texttt{Height of boy}}{\texttt{Height of shadow of boy}}=(5)/(2)=2.5`

So ratio of original height to shadow height is 2.5.

Now we need to find how tall is the court house tower, if its shadow is 25 feet.

`\frac{\texttt{Height of house tower}}{\texttt{Height of shadow of house tower}}=2.5\\\\\frac{\texttt{Height of house tower}}{25}=2.5\\\\\texttt{Height of house tower}=2.5* 25=62.5feet`

The court house tower is 62.5 feet tall