Answer:
x = 9 m
Step-by-step explanation:
15m, x and 12m are the sides of a right triangle where 15m is the length of hypotenuse.
Therefore, by Pythagoras theorem:
[tex] x^2 + 12^2 = 15^2 \\
x^2 + 144 = 225 \\
x^2 = 225-144 \\
x^2 = 81\\
x = \sqrt {81}\\
x = 9\: m[/tex]