Answer :

Answer:

The height of deepness of submarine is 424.1 feet  

Step-by-step explanation:

Given as :

The angle at which submarine drives of the surface of water = Ф = 13°

The speed at which submarine travel = s = 760 feet per minute

Let The height of deepness of submarine = h feet

The time taken to reach that deepness = t = 5 minutes

According to question

The height of deepness of submarine = [tex]\dfrac{\textrm speed}{\textrm time}[/tex]

i.e h × cos(90 - Ф) = [tex]\dfrac{s}{t}[/tex]

Or,  h × Sin(Ф) = [tex]\dfrac{\textrm 760 feet per min}{8 min}[/tex]

Or,  h × Sin(13°) = 95 feet

Or,   h × 0.224 = 95 feet

∴  h = [tex]\dfrac{95}{0.224}[/tex]

i.e h = 424.10 feet

So, The height of deepness of submarine = h = 424.10 feet

Hence, The height of deepness of submarine is 424.1 feet  Answer

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