Answer
1.6 m
Work Step by Step
Please see the attached image first.
By using the Pythagorean theorem, we can write,
$L^{2}=h^{2}+d^{2}=\gt h=\sqrt {L^{2}-d^{2}}$ ; Let's plug known values into this equation.
$h=\sqrt {(3.4\space m)^{2}+(3\space m)^{2}}=1.6\space m$
So, height of monkey = 1.6 m