Angle Alpha of Ramp given Opposite Side and Hypotenuse Calculator

✖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%
✖Hypotenuse of Ramp is the hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.ⓘ Hypotenuse of Ramp [H]			+10% -10%

✖Angle Alpha of Ramp is the angle formed between perpendicular, opposite side of the Ramp, and hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.ⓘ Angle Alpha of Ramp given Opposite Side and Hypotenuse [∠α]

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Formula

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Angle Alpha of Ramp given Opposite Side and Hypotenuse

Formula

`"∠α" = arccos("S"_{"Opposite"}/"H")`

Example

`"67.38014°"=arccos("5m"/"13m")`

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Angle Alpha of Ramp given Opposite Side and Hypotenuse Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp)
∠α = arccos(S_Opposite/H)
This formula uses 2 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)

Variables Used

Angle Alpha of Ramp - (Measured in Radian) - Angle Alpha of Ramp is the angle formed between perpendicular, opposite side of the Ramp, and hypotenuse of the right triangle 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.
Hypotenuse of Ramp - (Measured in Meter) - Hypotenuse of Ramp is the hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.

STEP 1: Convert Input(s) to Base Unit

Opposite Side of Ramp: 5 Meter --> 5 Meter No Conversion Required
Hypotenuse of Ramp: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠α = arccos(S_Opposite/H) --> arccos(5/13)

Evaluating ... ...

∠α = 1.17600520709514

STEP 3: Convert Result to Output's Unit

1.17600520709514 Radian -->67.3801350519722 Degree (Check conversion here)

FINAL ANSWER

67.3801350519722 ≈ 67.38014 Degree <-- Angle Alpha of Ramp

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 2 Angle Alpha of Ramp Calculators

Angle Alpha of Ramp given Opposite Side and Hypotenuse

Go Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp)

Angle Alpha of Ramp

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

Angle Alpha of Ramp given Opposite Side and Hypotenuse Formula

Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp)
∠α = arccos(S_Opposite/H)

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 Angle Alpha of Ramp given Opposite Side and Hypotenuse?

Angle Alpha of Ramp given Opposite Side and Hypotenuse calculator uses Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp) to calculate the Angle Alpha of Ramp, Angle Alpha of Ramp given Opposite Side and Hypotenuse formula is defined as the angle formed between perpendicular, opposite 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 hypotenuse, and the opposite side of Ramp. Angle Alpha of Ramp is denoted by ∠α symbol.

How to calculate Angle Alpha of Ramp given Opposite Side and Hypotenuse using this online calculator? To use this online calculator for Angle Alpha of Ramp given Opposite Side and Hypotenuse, enter Opposite Side of Ramp (S_Opposite) & Hypotenuse of Ramp (H) and hit the calculate button. Here is how the Angle Alpha of Ramp given Opposite Side and Hypotenuse calculation can be explained with given input values -> 3860.597 = arccos(5/13).

FAQ

What is Angle Alpha of Ramp given Opposite Side and Hypotenuse?

Angle Alpha of Ramp given Opposite Side and Hypotenuse formula is defined as the angle formed between perpendicular, opposite 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 hypotenuse, and the opposite side of Ramp and is represented as ∠α = arccos(S_Opposite/H) or Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse 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 & Hypotenuse of Ramp is the hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.

How to calculate Angle Alpha of Ramp given Opposite Side and Hypotenuse?

Angle Alpha of Ramp given Opposite Side and Hypotenuse formula is defined as the angle formed between perpendicular, opposite 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 hypotenuse, and the opposite side of Ramp is calculated using Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp). To calculate Angle Alpha of Ramp given Opposite Side and Hypotenuse, you need Opposite Side of Ramp (S_Opposite) & Hypotenuse of Ramp (H). With our tool, you need to enter the respective value for Opposite Side of Ramp & Hypotenuse 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 Angle Alpha of Ramp?

In this formula, Angle Alpha of Ramp uses Opposite Side of Ramp & Hypotenuse of Ramp. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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