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Slope Angle Beta of Ramp given Adjacent Side and Opposite Side Formula

GoSlope Angle Beta of Ramp Formula

GoSlope Angle Beta of Ramp given Adjacent Side and Hypotenuse Formula

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Slope Angle Beta of Ramp is the angle between base, adjacent side of the Ramp, and hypotenuse of right triangle formed when a rectangular surface is raised at an angle to form the Ramp. Check FAQs

∠β = \arccos (\frac{S Adjacent}{\sqrt{{S Adjacent}^{2} + {S Opposite}^{2}}})

∠β - Slope Angle Beta of Ramp?S_Adjacent - Adjacent Side of Ramp?S_Opposite - Opposite Side of Ramp?

Slope Angle Beta of Ramp given Adjacent Side and Opposite Side Example

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Here is how the Slope Angle Beta of Ramp given Adjacent Side and Opposite Side equation looks like with Values.

Here is how the Slope Angle Beta of Ramp given Adjacent Side and Opposite Side equation looks like with Units.

Here is how the Slope Angle Beta of Ramp given Adjacent Side and Opposite Side equation looks like.

22.6199 = \arccos (\frac{12}{\sqrt{12^{2} + 5^{2}}})

22.6199° = \arccos (\frac{12m}{\sqrt{{12m}^{2} + {5m}^{2}}})

22.6199 = \arccos (\frac{12}{\sqrt{12^{2} + 5^{2}}})

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Slope Angle Beta of Ramp given Adjacent Side and Opposite Side Solution

Follow our step by step solution on how to calculate Slope Angle Beta of Ramp given Adjacent Side and Opposite Side?

FIRST Step Consider the formula

∠β = \arccos (\frac{S Adjacent}{\sqrt{{S Adjacent}^{2} + {S Opposite}^{2}}})

Next Step Substitute values of Variables

∴

∠β = \arccos (\frac{12m}{\sqrt{{12m}^{2} + {5m}^{2}}})

Next Step Prepare to Evaluate

∴

∠β = \arccos (\frac{12}{\sqrt{12^{2} + 5^{2}}})

Next Step Evaluate

∴

∠β = 0.394791119699761rad

Next Step Convert to Output's Unit

∴

∠β = 22.6198649480447°

LAST Step Rounding Answer

∴

∠β = 22.6199°

Slope Angle Beta of Ramp given Adjacent Side and Opposite Side Formula Elements

Variables

Functions

Slope Angle Beta of Ramp

Slope Angle Beta of Ramp is the angle between base, adjacent side of the Ramp, and hypotenuse of right triangle formed when a rectangular surface is raised at an angle to form the Ramp.

Symbol: ∠β

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Slope Angle Beta of Ramp

Adjacent Side of Ramp

Adjacent Side of Ramp is the base of the right triangle which is formed when a rectangular surface is raised at an angle to form the Ramp.

Symbol: S_Adjacent

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Adjacent Side of Ramp

Opposite Side of Ramp

Opposite Side of Ramp is the perpendicular of the right triangle which is formed when a rectangular surface is raised at an angle to form the Ramp.

Symbol: S_Opposite

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Opposite Side of Ramp

cos

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

Syntax: cos(Angle)

arccos

Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: arccos(Number)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Slope Angle Beta of Ramp

Go Slope Angle Beta of Ramp

∠β = \frac{π}{2} - ∠α

Go Slope Angle Beta of Ramp given Adjacent Side and Hypotenuse

∠β = \arccos (\frac{S Adjacent}{H})

How to Evaluate Slope Angle Beta of Ramp given Adjacent Side and Opposite Side?

Slope Angle Beta of Ramp given Adjacent Side and Opposite Side evaluator uses Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2))) to evaluate the Slope Angle Beta of Ramp, Slope Angle Beta of Ramp given Adjacent Side and Opposite Side formula is defined as the angle between the base, adjacent side of the Ramp, and hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp and calculated using the adjacent side and the opposite side of Ramp. Slope Angle Beta of Ramp is denoted by ∠β symbol.

How to evaluate Slope Angle Beta of Ramp given Adjacent Side and Opposite Side using this online evaluator? To use this online evaluator for Slope Angle Beta of Ramp given Adjacent Side and Opposite Side, enter Adjacent Side of Ramp (S_Adjacent) & Opposite Side of Ramp (S_Opposite) and hit the calculate button.

FAQs on Slope Angle Beta of Ramp given Adjacent Side and Opposite Side

What is the formula to find Slope Angle Beta of Ramp given Adjacent Side and Opposite Side?

The formula of Slope Angle Beta of Ramp given Adjacent Side and Opposite Side is expressed as Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2))). Here is an example- 1296.023 = arccos(12/(sqrt(12^2+5^2))).

How to calculate Slope Angle Beta of Ramp given Adjacent Side and Opposite Side?

With Adjacent Side of Ramp (S_Adjacent) & Opposite Side of Ramp (S_Opposite) we can find Slope Angle Beta of Ramp given Adjacent Side and Opposite Side using the formula - Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2))). This formula also uses Cosine (cos)Inverse Cosine (arccos), Square Root (sqrt) function(s).

What are the other ways to Calculate Slope Angle Beta of Ramp?

Here are the different ways to Calculate Slope Angle Beta of Ramp-

Slope Angle Beta of Ramp=pi/2-Angle Alpha of Ramp
Slope Angle Beta of Ramp=arccos(Adjacent Side of Ramp/Hypotenuse of Ramp)

Can the Slope Angle Beta of Ramp given Adjacent Side and Opposite Side be negative?

No, the Slope Angle Beta of Ramp given Adjacent Side and Opposite Side, measured in Angle cannot be negative.

Which unit is used to measure Slope Angle Beta of Ramp given Adjacent Side and Opposite Side?

Slope Angle Beta of Ramp given Adjacent Side and Opposite Side is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Slope Angle Beta of Ramp given Adjacent Side and Opposite Side can be measured.

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