First, let's sketch the problem:
In order to find the height h of the monkey, we need to use the sine relation of the angle 43°.
The sine relation is equal to the opposite leg to the angle over the hypotenuse.
So we have:
[tex]\begin{gathered} \sin43°=\frac{h}{5.32}\\ \\ 0.682=\frac{h}{5.32}\\ \\ h=5.32\cdot0.682\\ \\ h=3.628\text{ m} \end{gathered}[/tex]Now, to find the potential energy PE, we can use the formula below:
[tex]\begin{gathered} PE=m\cdot g\cdot h\\ \\ PE=16.9\cdot9.8\cdot3.628\\ \\ PE=600.87\text{ J} \end{gathered}[/tex]Therefore the potential energy is 600.87 J.
