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A submarine traveling 792 feet per minute is descending at an angle of depression of 5°. How many minutes does it take the submarine to reach a depth of 200 ft?

Mathisfornerds  May 3, 2018
 #1
avatar+3276 
+2

Here's a similar question: http://www.chegg.com/homework-help/submarine-traveling-90-mph-descending-angle-depression-many-chapter-5.2-problem-58e-solution-9781424089161-exc

smileysmiley

tertre  May 3, 2018
 #2
avatar+129 
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tertre, i can't buy a book

Mathisfornerds  May 3, 2018
 #3
avatar+91148 
+1

The distance, d, that the submarine descends in one minute can be expressed as

 

sin(5°)  =  d / 792      multiply  both sides by  792

 

792*sin(5°)  =  d

 

So...to find out how many minutes it will take the sub to reach a depth of 200 ft we can evaluate this

 

200 / [ 792*sin (5°) ]  ≈ 2.9 min ≈ 2 min 54 sec 

 

 

cool cool cool

CPhill  May 4, 2018

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