A girl stands 7 meters away from a building. The angle of elevation from where she stands is 25 degrees. How tall is the Building?
With these problems, be sure and draw everything out so you can see what's happening.
h = 7*tan(25)
To find the height of the building, you can use trigonometry, specifically the tangent function.
The tangent of an angle is equal to the opposite side divided by the adjacent side. In this scenario, the opposite side is the height of the building and the adjacent side is the distance between the girl and the building.
Let's call the height of the building "h." From the problem, we know that the distance between the girl and the building is 7 meters, and the angle of elevation is 25 degrees.
Using the tangent function, we can set up the equation:
tan(25°) = h / 7
To find the height (h), we can multiply both sides of the equation by 7:
h = 7 * tan(25°)
Now, we can calculate the height of the building. Using a calculator, find the tangent of 25 degrees and multiply it by 7:
h ≈ 7 * tan(25°) ≈ 3.15 meters
Therefore, the height of the building is approximately 3.15 meters.