Question

The height of a building is 134.5 meters. Measured along the surface of the earth, how many kilometers can you see from the top of the building? The radius of the earth is about ( 6370 ~k)

Answer 1

The distance you can see from the top of the building is approximately 15.076 kilometers.

Step-by-step explanation:

To calculate the distance you can see from the top of a building, we need to determine the distance to the horizon. The formula for the distance to the horizon is given by D = 112.88 km × √h, where h is the height above the surface of the Earth. In this case, the height of the building is 134.5 meters. Converting this to kilometers, we get h = 0.1345 km. Plugging this value into the formula, we get D = 112.88 km × √0.1345 km = 15.076 km. Therefore, you can see approximately 15.076 kilometers from the top of the building.