Round to the nearest whole number

Question

Answer 1

627 feet

45.637 is close to 45 degrees. that would make 600+x = 1200, with x=600= the distance below the sea level

but 45.637 is more than 45, so the distance below the water > 600

tan(45.637+ = 1.02 = (600+x)/1200

600+x = 1200(1.02) = 1224

x = 1224-600 = 624

use a more exact tan(45.637) = 1.022486419 x 1200 =1226.983703 round up to 1227. subtract 600 = 627 feet.

Answer 2

Hi Elizabeth!

To find out how deep the submarine is, we need to know the full length of the right side.

This one is about sine, cosine, and tangent. We know the 45.637* angle, which we'll use to help us find the length of the right side. We can decide to use either sine, cosine, or tangent. We'll use tangent since tangent is about "opposite over adjacent"... which would mean that the tangent of the 45.637* angle is equal to the length of the right side (which is opposite from the angle) divided by the top side (which is adjacent to the angle).

If I use 'x' for the unknown value of the length of the right side, then:

tan(45.637)= x / 1200

We want to know what x is so we have to get it by itself on one side of the equation. I can do that by multiplying 1200 to both sides of the equation. After doing that, it looks like this:

1200 * tan(45.637) = x

1227 = x

Since the full right side is 1227 feet long, and since 600 feet of it is ABOVE water, the length of it under water is equal to 1227 - 600 = 627. This means the submarine is 627 feet under the surface.

I hope this helps! Best of luck!