Question

3. A submarine dives at an

angle of the surface of the
water. The submarine Travels
at a speed of 760 feet per
minute. About how deep is the
sub after 5 min?​

Answer 1

The height of deepness of submarine is 424.1 feet

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 =
`(\textrm speed)/(\textrm time)`

i.e h × cos(90 - Ф) =
`(s)/(t)`

Or, h × Sin(Ф) =
`(\textrm 760 feet per min)/(8 min)`

Or, h × Sin(13°) = 95 feet

Or, h × 0.224 = 95 feet

∴ h =
`(95)/(0.224)`

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