From a point 100m from the foot of a building, the angle of elevation of the top of the building is 18°42 Find the height of the building

Answer 1

We can start by drawing a diagram:

We know that the angle of elevation from the ground to the top of the building is 18°42'. We also know that the distance from the point on the ground to the building is 100m. From the diagram, we can see that the height of the building is the opposite side of the triangle formed by the ground, the building, and the line of sight to the top of the building. We can use trigonometry to find the height:

tan(18°42') = height / 100m

height = 100m * tan(18°42')

height = 33.7m (rounded to one decimal place)

Therefore, the height of the building is approximately 33.7m.