Word problem on calculus

Word problem on calculus

Postby Guest » Fri Nov 05, 2021 5:35 am

This problem is from my calculus class, I've spent hours on it and can't figure it out

"A submarine dives at an angle of 10° to the surface of the water. The submarine travels at a speed of about 12 feet per second. About how deep is the submarine, to the nearest whole foot, after a minute?"

If you could help, thanks.
Guest
 

Re: Word problem on calculus

Postby Guest » Sun Nov 07, 2021 6:34 pm

I can't help but wonder if the "Guest" who posted this question is the same "Guest" who "got this"!

In any case, if there are any others who wonder:
The submarine is moving along the hypotenuse of a right triangle with one angle 10 degrees. It is moving at 12 feet per second so after a minute= 60 seconds the hypotenuse will have length 12*60= 720 feet. The depth is the side opposite to the 10 degree angle so we have depth/720= sin(10).
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