Answer:

To find the height of the building, we can use trigonometry. In this case, we can use the tangent function.

Given:

Angle of elevation = 65°

Distance from the building = 30 meters

Let's assume the height of the building is h meters.

Using the tangent function:

tan(65°) = h/30

To solve for h, we can rearrange the equation:

h = 30 * tan(65°)

Calculating the value using a calculator:

h ≈ 86.842 meters

Therefore, the height of the building is approximately 86.842 meters.