Answer
$5.4\; feet$.
Work Step by Step
$\Rightarrow T=kB$ ...... (1)
Step 2:- Substitute all values into the equation to find the value of $k$.
The given values are $B=4\; feet$ and $L=3.6\; feet$.
Substitute into equation (1).
$\Rightarrow 3.6=k(4)$
Divide both sides by $4$.
$\Rightarrow \frac{3.6}{4}=\frac{4k}{4}$
Simplify.
$\Rightarrow 0.9=k$
Step 3:- Substitute the value of $k$ into the original equation.
Substitute $k=0.9$ into equation (1).
$\Rightarrow T=0.9B$ ...... (2)
Step 4:- Solve the equation to find required value.
Substitute $B=6\;feet$ into equation (2).
$\Rightarrow T=0.9(6)$
Simplify.
$\Rightarrow T=5.4\; feet$
Hence, the tail length is $5.4\; feet$.
