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Vertical Distance between Instrument Axis and Lower Vane Formula

GoVertical Distance between Center of Transit and Rod Intersected by Middle Horizontal Crosshair Formula

GoVertical Distance using Gradienter Formula

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vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair. Check FAQs

V = D \cdot \tan (θ 2)

V - Vertical Distance?D - Distance between Two Points?θ₂ - Vertical Angle to Lower Vane?

Vertical Distance between Instrument Axis and Lower Vane Example

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Here is how the Vertical Distance between Instrument Axis and Lower Vane equation looks like with Values.

Here is how the Vertical Distance between Instrument Axis and Lower Vane equation looks like with Units.

Here is how the Vertical Distance between Instrument Axis and Lower Vane equation looks like.

12.5712 = 35.5 \cdot \tan (19.5)

12.5712m = 35.5m \cdot \tan (19.5°)

12.5712 = 35.5 \cdot \tan (19.5)

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Vertical Distance between Instrument Axis and Lower Vane Solution

Follow our step by step solution on how to calculate Vertical Distance between Instrument Axis and Lower Vane?

FIRST Step Consider the formula

V = D \cdot \tan (θ 2)

Next Step Substitute values of Variables

∴

V = 35.5m \cdot \tan (19.5°)

Next Step Convert Units

∴

V = 35.5m \cdot \tan (0.3403rad)

Next Step Prepare to Evaluate

∴

V = 35.5 \cdot \tan (0.3403)

Next Step Evaluate

∴

V = 12.5712093248372m

LAST Step Rounding Answer

∴

V = 12.5712m

Vertical Distance between Instrument Axis and Lower Vane Formula Elements

Variables

Functions

Vertical Distance

vertical Distance between center of transit and point on rod intersected by middle horizontal crosshair.

Symbol: V

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vertical Distance

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

Vertical Angle to Lower Vane

Vertical angle to lower vane is the angle formed the instrument axis and the lower vane.

Symbol: θ₂

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Vertical Angle to Lower Vane

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Vertical Distance

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 Vertical Distance using Gradienter

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

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 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)

Go Intercept on Rod between Two Sighting Wires

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

How to Evaluate Vertical Distance between Instrument Axis and Lower Vane?

Vertical Distance between Instrument Axis and Lower Vane evaluator uses Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane) to evaluate the Vertical Distance, The Vertical Distance between Instrument Axis and Lower Vane formula is defined as the vertical distance above the plane of the instrument axis to the lower vane of the telescope. The formula is used when the observing point is at the elevation and both the angle by vane is at a higher elevation. Vertical Distance is denoted by V symbol.

How to evaluate Vertical Distance between Instrument Axis and Lower Vane using this online evaluator? To use this online evaluator for Vertical Distance between Instrument Axis and Lower Vane, enter Distance between Two Points (D) & Vertical Angle to Lower Vane (θ₂) and hit the calculate button.

FAQs on Vertical Distance between Instrument Axis and Lower Vane

What is the formula to find Vertical Distance between Instrument Axis and Lower Vane?

The formula of Vertical Distance between Instrument Axis and Lower Vane is expressed as Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane). Here is an example- 12.57121 = 35.5*tan(0.34033920413883).

How to calculate Vertical Distance between Instrument Axis and Lower Vane?

With Distance between Two Points (D) & Vertical Angle to Lower Vane (θ₂) we can find Vertical Distance between Instrument Axis and Lower Vane using the formula - Vertical Distance = Distance between Two Points*tan(Vertical Angle to Lower Vane). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Vertical Distance?

Here are the different ways to Calculate Vertical Distance-

Vertical Distance=1/(2*((Stadia Factor*Rod Intercept*sin(2*Vertical Inclination of Line of Sight))+(Instrument Constant*sin(Vertical Inclination of Line of Sight))))
Vertical Distance=Staff Intercept*(100*sin(2*Vertical Angle)*0.5*sin(Vertical Angle)^2)/(Revolution of Screw*Distance in One Turn)

Can the Vertical Distance between Instrument Axis and Lower Vane be negative?

No, the Vertical Distance between Instrument Axis and Lower Vane, measured in Length cannot be negative.

Which unit is used to measure Vertical Distance between Instrument Axis and Lower Vane?

Vertical Distance between Instrument Axis and Lower Vane is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Vertical Distance between Instrument Axis and Lower Vane can be measured.

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