Clicky

Home / Land Surveying / How To Calculate The Height Of Any Buildings And An Objects Using With Theodolite

How To Calculate The Height Of Any Buildings And An Objects Using With Theodolite

How To Calculate The Height Of Any Buildings And An Objects Using With Theodolite

Let us now calculate the height of the building using a theodolite as shown below.

how to calculate the height of building

First, you have to level the theodolite in the vertical axis and set the angle to 0° in the horizontal axis i.e. shown as a dotted line. You have to measure the distance (L ) of the building from the theodolite station point as shown in the drawing.

Bisect the top edge corner of the building using the theodolite and note down the value of angle θ1. Similarly, bisect the bottom edge corner of the building and write down the value of angle θ2.

Let us redraw the above triangles for the calculation purpose with the measured angle values.

Let us name triangle 1 as ABC, where A is the theodolite station point.

 

Learn More 

How To Find The Coordinates Of  Point P With The Help Of Point A & B

Triangle ABC :

object height with theodolite

Given data:

Angle θ1 = 34° 7′

Length AB = L = 72m.

From trigonometry,

Tan θ1

= opposite side ÷ adjacent side.

= side BC ÷ side AB

Tan 34° 7′

= h1 ÷ 72m.

h1 =  tan 34° 7′ × 72m.

= 0.67747 × 72m

48.778m.

Let us name triangle 2 as ABD, where A is the theodolite station point.

 

Learn More 

How To Calculate Height In Surveying With Angle & Distance

Triangle ABD.

building height using theodolite 01

Given data:

Angle θ2 = 1° 12′

Length AB = L = 72m.

From trigonometry,

Tan θ2 =

opposite side ÷ adjacent side.

= side BD ÷ side AB

Tan 1° 12′

= h2 ÷ 72m.

h2 =  tan 1° 12′ × 72m.

= 0.02094 × 72m

1.508m.

 

Now, the height of building

H = h1 + h2

= 48.778m. + 1.508m.

= 50.286m.

 

Other Post

What is Difference Between Whole Circle Bearing and Quadrantal Bearing

 

To get more information, Visit Our Official website
Land Surveying & Architects

JOIN US & LIKE OUR OFFICIAL FACEBOOK PAGE

THANKS.

About Raja Junaid Iqbal

Hi My name is Raja Junaid Iqbal and i am Land Surveyor by Profession but I've specialized in the field of Q,S and land development. As Professional Surveyor I engaged my self in all over the Gulf since 14 years.

Check Also

Types Of Camber

Why Camber Is Provided In Road

Types Of  The Road Camber – Advantages & Methods Of Providing Camber What Is The …

error: Content is protected !!
Skip to toolbar