Answer:

Let's break down the problem using trigonometry.

1. Angle of elevation from the top of the building to the top of the tower is 30 degrees.

2. Angle of depression from the top of the tower to the bottom of the building is 45 degrees.

3. The height of the building is 6 meters.

Let's denote the height of the tower as "h."

From the information given, we can set up two right triangles:

Triangle 1:

- Angle of elevation = 30 degrees

- Opposite side (height of the tower) = h

- Adjacent side (height of the building) = 6 meters

Using the tangent function for Triangle 1:

tan(30°) = h / 6

√3/3 = h / 6

h = (6 * √3) / 3

h = 2√3 meters

So, the height of the tower is 2√3 meters.