## 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:-**

SinÎ¸ = P/H (P stands for perpendicular and h stands for hypotenuse)

CosÎ¸ = B/H (B stands for base)

TanÎ¸ = 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 Î¸ is taken as 45 degree and the value of base is taken as 10 meter

Now, TanÎ¸ = P/B

**Now, after putting the values, we get the following result:-**

tan45^{0}Â = P/B = P/10

As we know the value of tan45^{0}Â = 1

So, 1 = P/10 or P = 10

So, P = 10m

Now, SinÎ¸ = P/H

**After putting the value, we get the following result:-**

Sin45^{0}Â = 10/H (as height is taken as 10m)

So, 0.707 = 10/H or H = 10/0.707 = 14.14m (value of Sin45^{0}Â = 0.707)

Now, CosÎ¸ = B/H

So, Cos45^{0}Â = 10/H (as the value of base = 10)

So, 0.707 = 10/H or H = 10/0.707 = 14.14m

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Land Surveying & Architects

Land Surveying & Architects