Question 1203442
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Draw out a right triangle with<ul><li>horizontal leg = x</li><li>vertical leg = y</li><li>hypotenuse = 4000</li></ul>{{{
drawing(400,400,-5,5,-5,5,
line(2,2,-2,-2),
line(-2,-2,-2,2),
line(-2,2,2,2),

locate(2.1,2.1,matrix(1,2,"Surface","ship")),
locate(-2.8,-2.3,"Submarine"),

locate(-0.5,2.7,"x"),
locate(-0.5,2.7+0.5,"adjacent"),
locate(0.3,1.95,31.2^o),
locate(-2.8,0.2,"y"),
locate(-2.8-1,0.2+0.5,"opposite"),
locate(0.3,0.2,"4000"),
locate(0.3,0.2-0.5,"hypotenuse"),

locate(-4.8,-4,matrix(1,2,"Diagram","not")),
locate(-4.8,-4.5,matrix(1,2,"to","scale"))
)
}}}


sin(angle) = opposite/hypotenuse
sin(31.2) = y/4000
y = 4000*sin(31.2)
y = 2072.10803749252
y = 2072.1


cos(angle) = adjacent/hypotenuse
cos(31.2) = x/4000
x = 4000*cos(31.2)
x = 3421.45704064202
x = 3421.5



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Answers:


The submarine has a depth of approximately 2072.1 feet.


Horizontal distance = 3421.5 feet (approximate)
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