Question

# A man was parasailing above a lake at an angle of elevation of 32° from a boat, as modeled in the diagram, If 129.5 meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man? (1) 68.6 (2) 80.9 (3) 109.8 (4) 244.4

Non-right triangles and trigonometry
A man was parasailing above a lake at an angle of elevation of 32° from a boat, as modeled in the diagram, If 129.5 meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man?
(1) 68.6
(2) 80.9
(3) 109.8
(4) 244.4

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