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Slope of House Shape Formula

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The Slope Angle of House Shape corresponds to the angle formed between the inclined surface or a line and the horizontal surface of the House shape. Check FAQs

∠ Slope = a r \cos (\frac{l Base}{2 \cdot S Roof})

∠_Slope - Slope Angle of House Shape?l_Base - Base Length of House Shape?S_Roof - Roof Side of House Shape?

Slope of House Shape Example

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Here is how the Slope of House Shape equation looks like with Values.

Here is how the Slope of House Shape equation looks like with Units.

Here is how the Slope of House Shape equation looks like.

20.3641 = a r \cos (\frac{15}{2 \cdot 8})

20.3641° = a r \cos (\frac{15m}{2 \cdot 8m})

20.3641 = a r \cos (\frac{15}{2 \cdot 8})

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Slope of House Shape Solution

Follow our step by step solution on how to calculate Slope of House Shape?

FIRST Step Consider the formula

∠ Slope = a r \cos (\frac{l Base}{2 \cdot S Roof})

Next Step Substitute values of Variables

∴

∠ Slope = a r \cos (\frac{15m}{2 \cdot 8m})

Next Step Prepare to Evaluate

∴

∠ Slope = a r \cos (\frac{15}{2 \cdot 8})

Next Step Evaluate

∴

∠ Slope = 0.355421201690224rad

Next Step Convert to Output's Unit

∴

∠ Slope = 20.3641348063216°

LAST Step Rounding Answer

∴

∠ Slope = 20.3641°

Slope of House Shape Formula Elements

Variables

Functions

Slope Angle of House Shape

The Slope Angle of House Shape corresponds to the angle formed between the inclined surface or a line and the horizontal surface of the House shape.

Symbol: ∠_Slope

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Slope Angle of House Shape

Base Length of House Shape

The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length of House Shape

Roof Side of House Shape

A Roof Side of House Shape is the length of the side of a House shape, that extends past the exterior wall line at the bottom of a slope.

Symbol: S_Roof

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Roof Side of House Shape

cos

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

Syntax: cos(Angle)

arcos

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: arcos(Number)

Other formulas in House Shape category

Go Perimeter of House Shape

P = l Base + (2 \cdot h Wall) + (2 \cdot S Roof)

Go Base Length of House Shape given Perimeter

l Base = P - (2 \cdot h Wall) - (2 \cdot S Roof)

Go Wall Height of House Shape given Perimeter

h Wall = \frac{P - l Base - (2 \cdot S Roof)}{2}

Go Roof Side of House Shape given Perimeter

S Roof = \frac{P - l Base - (2 \cdot h Wall)}{2}

How to Evaluate Slope of House Shape?

Slope of House Shape evaluator uses Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape)) to evaluate the Slope Angle of House Shape, The Slope of House Shape formula is defined as the angle of the roof surface above the horizontal plane. A slope with a greater absolute value indicates a steeper line. Slope Angle of House Shape is denoted by ∠_Slope symbol.

How to evaluate Slope of House Shape using this online evaluator? To use this online evaluator for Slope of House Shape, enter Base Length of House Shape (l_Base) & Roof Side of House Shape (S_Roof) and hit the calculate button.

FAQs on Slope of House Shape

What is the formula to find Slope of House Shape?

The formula of Slope of House Shape is expressed as Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape)). Here is an example- 1166.779 = arcos(15/(2*8)).

How to calculate Slope of House Shape?

With Base Length of House Shape (l_Base) & Roof Side of House Shape (S_Roof) we can find Slope of House Shape using the formula - Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape)). This formula also uses Cosine, Inverse Cosine function(s).

Can the Slope of House Shape be negative?

No, the Slope of House Shape, measured in Angle cannot be negative.

Which unit is used to measure Slope of House Shape?

Slope of House Shape is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Slope of House Shape can be measured.

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