Question

3. A submarine starts out 140 feet below sea level. If it dives 242 feet before rising 350 feet, find the current depth of the submarine.​

Answer 1

Answer:

Step-by-step explanation:

Let's take sea level as our horizon: if you are on the water surface, your height is  

h = 0 .  Also, let's assume a vertical axis pointing upwards. This means that the submarine, being  800  feet away from the horizon in the opposite direction with respect to the axis, will have a negative height of  

h 0 = − 800 .

If it ascends  250  feets, it gains altitude, so the new height is  

h 1 = − 800 + 250 = − 550  feet.

Note that this problem heavily depends on the coordinate system you adopt. In fact, I may have chosen an axes whose origin is set at the initial position of the submarine (which would have become the  

h 0 = 0 ), pointing upwards, and the new position would have been  

h 1 = 0 + 250 = 250  feet.

The only things that won't change is that the new position will be  

250

"more" than the old one. But if you want to compute absolute values, you need to specify a coordinate system, otherwise you may have as many answers as you want.

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Answer 2

Answer:

26 feet

Step-by-step explanation:

140+242

=382

382-356

=26 feet

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