Let x be the height of the man above the lake.

Since x is the side opposite the given angle and the cable is the hypotenuse, we use the skine ratio:

\(\displaystyle{\sin{{32}}}°={o}{p}\frac{{p}}{{a}}{d}{j}=\frac{{x}}{{129.5}}\)

\(\displaystyle{129.5}{\sin{{32}}}°={x}\)

x≈68.6 m

So, the answer is choice (1).

Since x is the side opposite the given angle and the cable is the hypotenuse, we use the skine ratio:

\(\displaystyle{\sin{{32}}}°={o}{p}\frac{{p}}{{a}}{d}{j}=\frac{{x}}{{129.5}}\)

\(\displaystyle{129.5}{\sin{{32}}}°={x}\)

x≈68.6 m

So, the answer is choice (1).