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

✖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.ⓘ Adjacent Side of Ramp [S_Adjacent]			+10% -10%
✖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.ⓘ Opposite Side of Ramp [S_Opposite]			+10% -10%

✖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.ⓘ Slope Angle Beta of Ramp given Adjacent Side and Opposite Side [∠β]

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Formula

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Slope Angle Beta of Ramp given Adjacent Side and Opposite Side

Formula

`"∠β" = arccos("S"_{"Adjacent"}/(sqrt("S"_{"Adjacent"}^2+"S"_{"Opposite"}^2)))`

Example

`"22.61986°"=arccos("12m"/(sqrt(("12m")^2+("5m")^2)))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2)))
∠β = arccos(S_Adjacent/(sqrt(S_Adjacent^2+S_Opposite^2)))
This formula uses 3 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., 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., sqrt(Number)

Variables Used

Slope Angle Beta of Ramp - (Measured in Radian) - 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.
Adjacent Side of Ramp - (Measured in Meter) - 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.
Opposite Side of Ramp - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Adjacent Side of Ramp: 12 Meter --> 12 Meter No Conversion Required
Opposite Side of Ramp: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠β = arccos(S_Adjacent/(sqrt(S_Adjacent^2+S_Opposite^2))) --> arccos(12/(sqrt(12^2+5^2)))

Evaluating ... ...

∠β = 0.394791119699761

STEP 3: Convert Result to Output's Unit

0.394791119699761 Radian -->22.6198649480447 Degree (Check conversion here)

FINAL ANSWER

22.6198649480447 ≈ 22.61986 Degree <-- Slope Angle Beta of Ramp

(Calculation completed in 00.007 seconds)

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< 3 Slope Angle Beta of Ramp Calculators

Slope Angle Beta of Ramp given Adjacent Side and Opposite Side

Go Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2)))

Slope Angle Beta of Ramp given Adjacent Side and Hypotenuse

Go Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/Hypotenuse of Ramp)

Slope Angle Beta of Ramp

Go Slope Angle Beta of Ramp = pi/2-Angle Alpha of Ramp

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

Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2)))
∠β = arccos(S_Adjacent/(sqrt(S_Adjacent^2+S_Opposite^2)))

What is Ramp?

An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle, with one end higher than the other, used as an aid for raising or lowering a load. The inclined plane is one of the six classical simple machines defined by Renaissance scientists.

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

Slope Angle Beta of Ramp given Adjacent Side and Opposite Side calculator uses Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2))) to calculate 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 calculate Slope Angle Beta of Ramp given Adjacent Side and Opposite Side using this online calculator? To use this online calculator 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. Here is how the Slope Angle Beta of Ramp given Adjacent Side and Opposite Side calculation can be explained with given input values -> 1296.023 = arccos(12/(sqrt(12^2+5^2))).

FAQ

What is Slope Angle Beta of Ramp given Adjacent Side and Opposite Side?

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 and is represented as ∠β = arccos(S_Adjacent/(sqrt(S_Adjacent^2+S_Opposite^2))) or Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2))). 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 & 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.

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

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 is calculated using Slope Angle Beta of Ramp = arccos(Adjacent Side of Ramp/(sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2))). To calculate Slope Angle Beta of Ramp given Adjacent Side and Opposite Side, you need Adjacent Side of Ramp (S_Adjacent) & Opposite Side of Ramp (S_Opposite). With our tool, you need to enter the respective value for Adjacent Side of Ramp & Opposite Side of Ramp and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Slope Angle Beta of Ramp?

In this formula, Slope Angle Beta of Ramp uses Adjacent Side of Ramp & Opposite Side of Ramp. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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