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

emancipezN

emancipezN

Answered question

2020-10-21

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

Answer & Explanation

Willie

Willie

Skilled2020-10-22Added 95 answers

Let x be the height of the man above the lake. 
Since the cable is the hypotenuse and x is the side opposite the given angle, we use the sine ratio:
sin32°=oppadj=x129.5 
129.5sin32°=x 
x≈68.6 m 
So, the answer is choice (1).

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-12Added 2605 answers

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