Amine shaft is 300 meters deep and forms an angle of depression of 65 degrees. how long is the mine shaft?

See the attached picture:

331.01 meters.

Step-by-step explanation:

1. You can draw a right triangle as the one shown in the figure attached, where the lenght of the mine shaft is represented with x.

2. Therefore, you can find the  lenght of the mine shaft as following:

Where:

2. Now, you must substitute values and solve for x. Then, you obtain the following result:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i