[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The potential energy of an object is
[tex]\boxed{PE = mgh}[/tex]
where:
PE = potential energy
m = mass
g = acceleration due to gravity = 9.8 m/s²
h = height
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for m
PE = mgh
[tex]\dfrac{PE}{gh} = \dfrac{mgh}{gh}[/tex]
[tex]m = \dfrac{PE}{gh}[/tex]
[tex]m = \dfrac{\text{23,520 J}}{(\text{9.8 m/}\text{s}^{2})(\text{30 m})}[/tex]
[tex]\boxed{m = \text{80 kg}}[/tex]
Therefore, the mass of the window washer is 80 kg.
[tex]\\[/tex]
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