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Horizontal Distance using Gradienter Formula

GoDistance Equation given Index Error Formula

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Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres. Check FAQs

D = s i \cdot \frac{100 \cdot {\cos (x)}^{2} \cdot 0.5 \cdot \sin (2 \cdot x)}{m \cdot c}

D - Distance between Two Points?s_i - Staff Intercept?x - Vertical Angle?m - Revolution of Screw?c - Distance in One Turn?

Horizontal Distance using Gradienter Example

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With units

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Here is how the Horizontal Distance using Gradienter equation looks like with Values.

Here is how the Horizontal Distance using Gradienter equation looks like with Units.

Here is how the Horizontal Distance using Gradienter equation looks like.

10.9857 = 3 \cdot \frac{100 \cdot {\cos (20)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 20)}{3.1 \cdot 2.5}

10.9857m = 3m \cdot \frac{100 \cdot {\cos (20°)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 20°)}{3.1 \cdot 2.5m}

10.9857 = 3 \cdot \frac{100 \cdot {\cos (20)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 20)}{3.1 \cdot 2.5}

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Horizontal Distance using Gradienter Solution

Follow our step by step solution on how to calculate Horizontal Distance using Gradienter?

FIRST Step Consider the formula

D = s i \cdot \frac{100 \cdot {\cos (x)}^{2} \cdot 0.5 \cdot \sin (2 \cdot x)}{m \cdot c}

Next Step Substitute values of Variables

∴

D = 3m \cdot \frac{100 \cdot {\cos (20°)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 20°)}{3.1 \cdot 2.5m}

Next Step Convert Units

∴

D = 3m \cdot \frac{100 \cdot {\cos (0.3491rad)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 0.3491rad)}{3.1 \cdot 2.5m}

Next Step Prepare to Evaluate

∴

D = 3 \cdot \frac{100 \cdot {\cos (0.3491)}^{2} \cdot 0.5 \cdot \sin (2 \cdot 0.3491)}{3.1 \cdot 2.5}

Next Step Evaluate

∴

D = 10.9857240599276m

LAST Step Rounding Answer

∴

D = 10.9857m

Horizontal Distance using Gradienter Formula Elements

Variables

Functions

Distance between Two Points

Distance between Two Points is defined as the length of space between two points. For finding the distance when curvature effects are considered, the value must be considered in kilometres.

Symbol: D

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance between Two Points

Staff Intercept

Staff intercept is the difference in reading between top and bottom cross hairs.

Symbol: s_i

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Staff Intercept

Vertical Angle

Vertical Angle is the angle between horizontal distance and slope distance.

Symbol: x

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Vertical Angle

Revolution of Screw

Revolution of screw is the number of revolutions made for the micrometer screw.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Revolution of Screw

Distance in One Turn

Distance in One Turn is the distance by which the line of sight moves by one revolution of the screw.

Symbol: c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance in One Turn

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Distance between Two Points

Go Distance Equation given Index Error

D = (K M \cdot \frac{s i}{m - e}) + C add

Other formulas in Stadia Surveying category

Go Horizontal Distance between Center of Transit and Rod

H Horizontal = (K \cdot R i \cdot {(\cos (a))}^{2}) + (fc \cdot \cos (a))

Go Vertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair

V = \frac{1}{2 \cdot ((K \cdot R i \cdot \sin (2 \cdot a)) + (fc \cdot \sin (a)))}

Go Additive Constant or Stadia Constant

C = (f + D c)

Go Stadia Distance from Instrument Spindle to Rod

D s = R \cdot ((\frac{f}{R i}) + C)

How to Evaluate Horizontal Distance using Gradienter?

Horizontal Distance using Gradienter evaluator uses Distance between Two Points = Staff Intercept*(100*cos(Vertical Angle)^2*0.5*sin(2*Vertical Angle))/(Revolution of Screw*Distance in One Turn) to evaluate the Distance between Two Points, The Horizontal Distance using Gradienter formula is defined as the length of the space between the instrument and the considered point. The vertical angle here represents the angle between the instrument axis and the observation made to lower point of vertical staff. Distance between Two Points is denoted by D symbol.

How to evaluate Horizontal Distance using Gradienter using this online evaluator? To use this online evaluator for Horizontal Distance using Gradienter, enter Staff Intercept (s_i), Vertical Angle (x), Revolution of Screw (m) & Distance in One Turn (c) and hit the calculate button.

FAQs on Horizontal Distance using Gradienter

What is the formula to find Horizontal Distance using Gradienter?

The formula of Horizontal Distance using Gradienter is expressed as Distance between Two Points = Staff Intercept*(100*cos(Vertical Angle)^2*0.5*sin(2*Vertical Angle))/(Revolution of Screw*Distance in One Turn). Here is an example- 10.98572 = 3*(100*cos(0.3490658503988)^2*0.5*sin(2*0.3490658503988))/(3.1*2.5).

How to calculate Horizontal Distance using Gradienter?

With Staff Intercept (s_i), Vertical Angle (x), Revolution of Screw (m) & Distance in One Turn (c) we can find Horizontal Distance using Gradienter using the formula - Distance between Two Points = Staff Intercept*(100*cos(Vertical Angle)^2*0.5*sin(2*Vertical Angle))/(Revolution of Screw*Distance in One Turn). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Distance between Two Points?

Here are the different ways to Calculate Distance between Two Points-

Distance between Two Points=(Multiplying Constant*Staff Intercept/(Revolution of Screw-Index Error))+Additive Constant

Can the Horizontal Distance using Gradienter be negative?

Yes, the Horizontal Distance using Gradienter, measured in Length can be negative.

Which unit is used to measure Horizontal Distance using Gradienter?

Horizontal Distance using Gradienter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Horizontal Distance using Gradienter can be measured.

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: Unit

Horizontal Distance using Gradienter Formula

​GoDistance Equation given Index Error Formula

Horizontal Distance using Gradienter Example

Horizontal Distance using Gradienter Solution

Horizontal Distance using Gradienter Formula Elements

Other Formulas to find Distance between Two Points

Other formulas in Stadia Surveying category

How to Evaluate Horizontal Distance using Gradienter?

FAQs on Horizontal Distance using Gradienter

Variable Name

GoDistance Equation given Index Error Formula