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Answer:

To find the height of the building, we can use trigonometry.

Given that the person is standing 50 meters away from the building and the angle of elevation to the top of the building is 30 degrees, we can use the tangent function.

Let h be the height of the building.

In a right triangle formed by the person, the top of the building, and the base of the building, we have:

tan(30°) = h / 50

Using the tangent of 30 degrees (0.577), we can solve for h:

0.577 = h / 50

Cross-multiplying, we get:

h = 0.577 * 50

h ≈ 28.85

Therefore, the height of the building is approximately 28.85 meters.