A boy standing at a distance of 48 meters from a building observes the top of the building and

Let’s assume that the height of the building is h meters.

From the given information, we know that the boy is standing at a distance of 48 meters from the building and his angle of elevation to the top of the building is 30°.

We can use the tangent function to relate the angle of elevation to the height of the building:

tan(30°) = h/48

Simplifying this equation, we get:

h = 48 * tan(30°)

Using a calculator, we can evaluate the tangent of 30° as 0.5774 (rounded to four decimal places):

h = 48 * 0.5774

h = 27.744 meters (rounded to three decimal places)

Therefore, the height of the building is approximately 27.744 meters.