Answer
$3.6$ meters
Work Step by Step
The two triangles are similar. That means the ratio of the corresponding sides are equal.
$$ \frac{3.6}{4.8} = \frac{3.45}{4.6} = \frac{2.7}{x}$$
The first 2 fractions are equal to $0.75$. The third one must be too. Now, solve for x
$\frac{2.7}{x} = 0.75$
$2.7 = 0.75x$
$x = (4/3) * 2.7$
$x = 3.6$
The length is $3.6$ meters.
