Answer
The telephone pole is $6$ meters tall.
Work Step by Step
We can set up a proportion that compares a meter stick and its shadow with a telephone pole and its shadow:
$\frac{1}{1.5} = \frac{x}{9}$
Use the cross products property to eliminate the fractions:
$1.5x = 9$
Divide each side by $1.5$ to solve for $x$:
$x = 6$ m
The telephone pole is $6$ meters tall.