Slope of House Shape Calculator

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✖The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end.ⓘ Base Length of House Shape [l_Base]			+10% -10%
✖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.ⓘ Roof Side of House Shape [S_Roof]			+10% -10%

✖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.ⓘ Slope of House Shape [∠_Slope]

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Formula

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Slope of House Shape

Formula

`"∠"_{"Slope"} = arcos("l"_{"Base"}/(2*"S"_{"Roof"}))`

Example

`"20.36413°"=arcos("15m"/(2*"8m"))`

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Slope of House Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape))
∠_Slope = arcos(l_Base/(2*S_Roof))
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)
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., arcos(Number)

Variables Used

Slope Angle of House Shape - (Measured in Radian) - 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.
Base Length of House Shape - (Measured in Meter) - The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end.
Roof Side of House Shape - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Base Length of House Shape: 15 Meter --> 15 Meter No Conversion Required
Roof Side of House Shape: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Slope = arcos(l_Base/(2*S_Roof)) --> arcos(15/(2*8))

Evaluating ... ...

∠_Slope = 0.355421201690224

STEP 3: Convert Result to Output's Unit

0.355421201690224 Radian -->20.3641348063216 Degree (Check conversion here)

FINAL ANSWER

20.3641348063216 ≈ 20.36413 Degree <-- Slope Angle of House Shape

(Calculation completed in 00.004 seconds)

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Credits

Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has created this Calculator and 300+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 100+ more calculators!

< 10+ House Shape Calculators

Area of House Shape

Go Area of House Shape = (Base Length of House Shape*Wall Height of House Shape)+(Roof Height of House Shape*Base Length of House Shape/2)

Base Length of House Shape given Perimeter

Go Base Length of House Shape = Perimeter of House Shape-(2*Wall Height of House Shape)-(2*Roof Side of House Shape)

Wall Height of House Shape given Perimeter

Go Wall Height of House Shape = (Perimeter of House Shape-Base Length of House Shape-(2*Roof Side of House Shape))/2

Roof Side of House Shape given Perimeter

Go Roof Side of House Shape = (Perimeter of House Shape-Base Length of House Shape-(2*Wall Height of House Shape))/2

Perimeter of House Shape

Go Perimeter of House Shape = Base Length of House Shape+(2*Wall Height of House Shape)+(2*Roof Side of House Shape)

Diagonal of Rectangle of House Shape

Go Diagonal of Rectangle of House Shape = sqrt(Base Length of House Shape^2+Wall Height of House Shape^2)

Roof Height of House Shape

Go Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4)

Slope of House Shape

Go Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape))

Diagonal of House Shape

Go Diagonal of House Shape = sqrt((Base Length of House Shape/2)^2+Height of House Shape^2)

Height of House Shape

Go Height of House Shape = Roof Height of House Shape+Wall Height of House Shape

Slope of House Shape Formula

Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape))
∠_Slope = arcos(l_Base/(2*S_Roof))

What is House Shape?

The House Shape is basically a pentagon, which has one baseline, that seems to be the basement of a house. One pair of equal sides which are opposite to each other and are perpendicular to the baseline. Those seem to be the walls of the house. And two equal sides complete the pentagonal shape, those seem to be the roof of the house. Mathematically, the House shape is formed by joining a rectangle of which length is the base line and an isosceles triangle of which unequal side coincide with the length of a rectangle.

How to Calculate Slope of House Shape?

Slope of House Shape calculator uses Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape)) to calculate 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 calculate Slope of House Shape using this online calculator? To use this online calculator 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. Here is how the Slope of House Shape calculation can be explained with given input values -> 1166.779 = arcos(15/(2*8)).

FAQ

What is Slope 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 and is represented as ∠_Slope = arcos(l_Base/(2*S_Roof)) or Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side 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 & 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.

How to calculate Slope 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 is calculated using Slope Angle of House Shape = arcos(Base Length of House Shape/(2*Roof Side of House Shape)). To calculate Slope of House Shape, you need Base Length of House Shape (l_Base) & Roof Side of House Shape (S_Roof). With our tool, you need to enter the respective value for Base Length of House Shape & Roof Side of House Shape and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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