How To Calculate Height Of A Building/Tower:
Sometimes we may need to find out the height of a building before or after construction. There are several methods for calculating the height of a building.
In this article, I will use trigonometry method for calculating the height of the building. This is the simplest method. You can use this method to find out the height of any objects such as tower, water tank, tree, lighthouse etc,
Required Data:
Distance and angle (as shown in fig).
Given:
- Angle = θ = 30º
- Distance = d = 3000 feet.
Procedure:
We know,
Tangent = The ratio of the opposite side to the adjacent side.
Which means tanθ = Opposite side/Adjacent side
- here θ = 30º
So tan30º = Opposite side/Adjacent side = x/d = x/3000
- x = tan30º x 3000 = 0.577 x 3000 = 1732 feet.
∴ The height of the building is 1732 feet.
FAQ
Which method is used to find the height of a tower?
I would use a theodolite to measure the angle subtended by the top and the base of the tower, measure the distance to the tower from the theodolite and calculate the height from the triangle. Height = distance x Tan A. You can measure it on the ground with a 45° angle
How to calculate height formula?
The height of an object in physics is determined by its gravitational potential energy and its kinetic energy. The formula to calculate height is: h = v^2 / 2g
How do you calculate packed tower height?
In a mass transfer analysis, the packed bed height is equal to the height of a transfer unit multiplied by the number of transfer units, which you obtain by numerical integration. With this method, the equation is often referred to as Z = HTU x NTU
How do they calculate height?
Assessment of height (or stature) is conducted by direct measurement of the length from the bottom of the feet to the highest point of the head. Standing height can be measured in participants that can stand without assistance and who are cooperative (typically 2 to 3 years of age and older)
How to find the height of a tower using trigonometry?
We have to find the height of the tower. Let us consider the height of the tower as AB, the distance between the foot of the tower to the point on the ground as BC. In ΔABC, trigonometric ratio involving AB, BC and ∠C is tan θ. Height of tower AB = 10√3 m
What is the expression for the height of a tower?
So, the expression for the height of the tower at time tt is h(t)=h0+12gt2h(t)=h0+21gt2. This expression gives you the height of the tower at any given time tt assuming it’s subject to constant acceleration due to gravity
