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.
![distance-calculate 01](https://rajajunaidiqbal.com/wp-content/uploads/2021/01/distance-calculate-01.jpg)
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
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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:-
tan450Â = P/B = P/10
As we know the value of tan450Â = 1
So, 1 = P/10 or P = 10
So, P = 10m
Now, Sinθ = P/H
After putting the value, we get the following result:-
Sin450Â = 10/H (as height is taken as 10m)
So, 0.707 = 10/H or H = 10/0.707 = 14.14m (value of Sin450Â = 0.707)
Now, Cosθ = B/H
So, Cos450Â = 10/H (as the value of base = 10)
So, 0.707 = 10/H or H = 10/0.707 = 14.14m