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Angle Alpha of Ramp given Opposite Side and Hypotenuse Formula

GoAngle Alpha of Ramp Formula

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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. Check FAQs

∠α = \arccos (\frac{S Opposite}{H})

∠α - Angle Alpha of Ramp?S_Opposite - Opposite Side of Ramp?H - Hypotenuse of Ramp?

Angle Alpha of Ramp given Opposite Side and Hypotenuse Example

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Here is how the Angle Alpha of Ramp given Opposite Side and Hypotenuse equation looks like with Values.

Here is how the Angle Alpha of Ramp given Opposite Side and Hypotenuse equation looks like with Units.

Here is how the Angle Alpha of Ramp given Opposite Side and Hypotenuse equation looks like.

67.3801 = \arccos (\frac{5}{13})

67.3801° = \arccos (\frac{5m}{13m})

67.3801 = \arccos (\frac{5}{13})

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Angle Alpha of Ramp given Opposite Side and Hypotenuse Solution

Follow our step by step solution on how to calculate Angle Alpha of Ramp given Opposite Side and Hypotenuse?

FIRST Step Consider the formula

∠α = \arccos (\frac{S Opposite}{H})

Next Step Substitute values of Variables

∴

∠α = \arccos (\frac{5m}{13m})

Next Step Prepare to Evaluate

∴

∠α = \arccos (\frac{5}{13})

Next Step Evaluate

∴

∠α = 1.17600520709514rad

Next Step Convert to Output's Unit

∴

∠α = 67.3801350519722°

LAST Step Rounding Answer

∴

∠α = 67.3801°

Angle Alpha of Ramp given Opposite Side and Hypotenuse Formula Elements

Variables

Functions

Angle Alpha of Ramp

Symbol: ∠α

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle Alpha 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

Hypotenuse of 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.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hypotenuse 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)

Other Formulas to find Angle Alpha of Ramp

Go Angle Alpha of Ramp

∠α = \frac{π}{2} - ∠β

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

Angle Alpha of Ramp given Opposite Side and Hypotenuse evaluator uses Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp) to evaluate 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 evaluate Angle Alpha of Ramp given Opposite Side and Hypotenuse using this online evaluator? To use this online evaluator 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.

FAQs on Angle Alpha of Ramp given Opposite Side and Hypotenuse

What is the formula to find Angle Alpha of Ramp given Opposite Side and Hypotenuse?

The formula of Angle Alpha of Ramp given Opposite Side and Hypotenuse is expressed as Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp). Here is an example- 3860.597 = arccos(5/13).

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

With Opposite Side of Ramp (S_Opposite) & Hypotenuse of Ramp (H) we can find Angle Alpha of Ramp given Opposite Side and Hypotenuse using the formula - Angle Alpha of Ramp = arccos(Opposite Side of Ramp/Hypotenuse of Ramp). This formula also uses Cosine (cos), Inverse Cosine (arccos) function(s).

What are the other ways to Calculate Angle Alpha of Ramp?

Here are the different ways to Calculate Angle Alpha of Ramp-

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

Can the Angle Alpha of Ramp given Opposite Side and Hypotenuse be negative?

No, the Angle Alpha of Ramp given Opposite Side and Hypotenuse, measured in Angle cannot be negative.

Which unit is used to measure Angle Alpha of Ramp given Opposite Side and Hypotenuse?

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

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