How To Calculate Height In Surveying With Angle & Distance
In this Civil Engineering article, you will get some useful tips to determine the height of an object with angle and distance. The article is very useful for Surveyors.
The following formulas are used for calculation purpose:-
Sinθ = P/H (P stands for perpendicular and h stands for hypotenuse)
Cosθ = B/H (B stands for base)
Tanθ = P/B
What is Scale Factor ?
It should be remembered that the opposite of the angle (in a triangle) is always perpendicular.
Here, the value of θ is taken as 45 degree and the value of base is taken as 10 meter
Now, Tanθ = P/B
Now, after putting the values, we get the following result:-
tan450 = P/B = P/10
As we know the value of tan450 = 1
So, 1 = P/10 or P = 10
So, P = 10m
Now, Sinθ = P/H
After putting the value, we get the following result:-
Sin450 = 10/H (as height is taken as 10m)
So, 0.707 = 10/H or H = 10/0.707 = 14.14m (value of Sin450 = 0.707)
Now, Cosθ = B/H
So, Cos450 = 10/H (as the value of base = 10)
So, 0.707 = 10/H or H = 10/0.707 = 14.14m