he following diagram, the ship is anchored to the ocean floor. The length of the rope attaching the
o the boat is 30m. The angle of elevation from the anchor to the ship is 39 degrees. Determine, to th
meter, the distance from the ship to the ocean floor
Determine, to the nearest meter, the distance o
rom the anchor to where the boat is perpendicular to ground.

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

If you want to learn more about right triangles, you can read:

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