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A navy cruiser is sailing on the Pacific Ocean. They use their sonar technology and are able to detect a submarine. They're trying to figure out how deep the sub,arine is. The sonar device is held at an angle of depression of 34 degrees and the sonar device says a direct line to the submarine is 4,000 feet (hypotenuse). How deep is the submarine?

Guest Apr 7, 2017
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 #1
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We know an angle and the hypotenuse ......and we are trying to find the opposite side.... so...we can use the sine to solve this

 

sin(34°)  = Depth of sub /  4000     multiply both sides by 4000

 

4000*sin(34°)   = Depth of sub ≈   2236.77  ft.

 

 

cool cool cool

CPhill  Apr 7, 2017
 #2
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Thank you so much! laugh

Guest Apr 7, 2017

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