Who can tell me 5 different mathematical ways of measuring the height of a building?

Answer 1

1) Drop a marked measuring line from the top of the building. Read the value
2) Drop an object off the top of the building and measure the time to hit the ground, calculate the distance fallen. H = ½g x t²
3) Measure the length of the shadow of the building and compare it to the shadow of a known length (e.g. a yard stick). Use similar triangles
4) Find the air pressure at the bottom and the top of the building and use a formula to figure the altitude of both and calculate the difference.
5) Get a GPS locator which shows altitude, get the readings at the top and bottom of the building. Subtract the two.
6) Find the blueprints (scale drawing) of the building. Measure the height and multiply by the scale to get the actual measurement of the height.
7) Count the number of stories and multiply by the measurement for a single story.
8) Set up a viewscope at a perfect 45 degree angle. Keep moving back until you have the top of the building in your sight. Measure the distance from the base of the building to the viewscope. It should be equal to the height.
9) Drop a flash/bang device from the top of the building that is designed to detonate on impact. Measure the difference between the time you see the flash and when you hear the bang. Calculate the distance.
10) Tie a weight to a rope hanging from the top of the building and use it as a pendulum. The period of the pendulum would tell you the length of the rope.

Answer 2

1/ Height in floors : subtract floors from the building until there are none left.

2 / Divide the volume of the building by the width and depth

3 / Draw a circle tangent to the ground that just encloses the highest point on the building : divide the circumference by pi to get the height.

4 / add the hieght of each step until you get to the top.

5 / define your 0 datum for height to be the top of the building and measure everything else from that level.

Answer 3

5. Take the barometer used in the previous solution #4 and offer it to the owner of the building if he/she will tell you the height of the building.