Roof Height of House Shape Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4)
hRoof = sqrt(((4*SRoof^2)-lBase^2)/4)
This formula uses 1 Functions, 3 Variables
Functions Used
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
Roof Height of House Shape - (Measured in Meter) - The roof height of House shape means the vertical distance between the highest point of the roof and the average finished grade of the front lot line.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Roof Side of House Shape: 8 Meter --> 8 Meter No Conversion Required
Base Length of House Shape: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hRoof = sqrt(((4*SRoof^2)-lBase^2)/4) --> sqrt(((4*8^2)-15^2)/4)
Evaluating ... ...
hRoof = 2.78388218141501
STEP 3: Convert Result to Output's Unit
2.78388218141501 Meter --> No Conversion Required
FINAL ANSWER
2.78388218141501 2.783882 Meter <-- Roof Height of House Shape
(Calculation completed in 00.020 seconds)

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

Roof Height of House Shape Formula

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

What is House Shape?

The House Shape is basically a pentagon, which has one base line, 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 base line. 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 Roof Height of House Shape?

Roof Height of House Shape calculator uses Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4) to calculate the Roof Height of House Shape, The Roof Height of House Shape formula is defined as the distance between the higher most point and the lower most point of the roof of the House shape with reference to roof side and base length. Roof Height of House Shape is denoted by hRoof symbol.

How to calculate Roof Height of House Shape using this online calculator? To use this online calculator for Roof Height of House Shape, enter Roof Side of House Shape (SRoof) & Base Length of House Shape (lBase) and hit the calculate button. Here is how the Roof Height of House Shape calculation can be explained with given input values -> 2.783882 = sqrt(((4*8^2)-15^2)/4).

FAQ

What is Roof Height of House Shape?
The Roof Height of House Shape formula is defined as the distance between the higher most point and the lower most point of the roof of the House shape with reference to roof side and base length and is represented as hRoof = sqrt(((4*SRoof^2)-lBase^2)/4) or Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4). 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 & The Base Length of House Shape is defined as the length of the baseline of the House shape from end to end.
How to calculate Roof Height of House Shape?
The Roof Height of House Shape formula is defined as the distance between the higher most point and the lower most point of the roof of the House shape with reference to roof side and base length is calculated using Roof Height of House Shape = sqrt(((4*Roof Side of House Shape^2)-Base Length of House Shape^2)/4). To calculate Roof Height of House Shape, you need Roof Side of House Shape (SRoof) & Base Length of House Shape (lBase). With our tool, you need to enter the respective value for Roof Side of House Shape & Base Length 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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