A submarine is getting ready to dive below the surface of the water at an angle of depression of 40 degrees. It will be at a depth of 2000 feet when it is finished with its dive. What will be the horizontal distance traveled when it's finished it's dive?

1678 feet

Step-by-step explanation:

In this problem, the submarine travels at an angle of depression of 40 degrees, and it reaches a depth of 2000 feet when it is finished with the dive.

Therefore, we can call:

the vertical distance covered by the submarine

= the horizontal distance travelled by the submarine

is the angle of depression

By analzying the situation, we notice that d and h represent the two sides of a right triangle.

Therefore, we can write the following equation:

Since h is the side opposite to the angle and d is the side adjacent to the angle.

The equation can be rewritten as

And by substituting the values, we find:

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step-by-step explanation: