Height of X Shape given Outer Arm Length and Left or Right Angle Calculator

✖The Outer Arm Length of X Shape is the length of the outer arm of the X Shape.ⓘ Outer Arm Length of X Shape [l_{Outer Arm}]			+10% -10%
✖The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.ⓘ Left and Right Angle of X Shape [∠_Left/Right]			+10% -10%

✖The Height of X Shape is the distance from the top to the bottom of the X Shape.ⓘ Height of X Shape given Outer Arm Length and Left or Right Angle [h]

⎘ Copy

👎

Formula

✖

Height of X Shape given Outer Arm Length and Left or Right Angle

Formula

`"h" = 2*"l"_{"Outer Arm"}*sin("∠"_{"Left/Right"}/2)`

Example

`"18.47759m"=2*"10m"*sin("135°"/2)`

Calculator

LaTeX

Reset

👍

Download 2D Geometry Formula PDF

Height of X Shape given Outer Arm Length and Left or Right Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2)
h = 2*l_{Outer Arm}*sin(∠_Left/Right/2)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Height of X shape - (Measured in Meter) - The Height of X Shape is the distance from the top to the bottom of the X Shape.
Outer Arm Length of X Shape - (Measured in Meter) - The Outer Arm Length of X Shape is the length of the outer arm of the X Shape.
Left and Right Angle of X Shape - (Measured in Radian) - The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.

STEP 1: Convert Input(s) to Base Unit

Outer Arm Length of X Shape: 10 Meter --> 10 Meter No Conversion Required
Left and Right Angle of X Shape: 135 Degree --> 2.3561944901919 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 2*l_{Outer Arm}*sin(∠_Left/Right/2) --> 2*10*sin(2.3561944901919/2)

Evaluating ... ...

h = 18.477590650224

STEP 3: Convert Result to Output's Unit

18.477590650224 Meter --> No Conversion Required

FINAL ANSWER

18.477590650224 ≈ 18.47759 Meter <-- Height of X shape

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » X Shape » Height of X Shape » Height of X Shape given Outer Arm Length and Left or Right Angle

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!

< 2 Height of X Shape Calculators

Height of X Shape given Outer Arm Length and Left or Right Angle

Go Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2)

Height of X Shape given Bottom or Top Angle

Go Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2)

Height of X Shape given Outer Arm Length and Left or Right Angle Formula

Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2)
h = 2*l_{Outer Arm}*sin(∠_Left/Right/2)

What is X Shape?

When a parallelogram-shaped bar is reflected and connected with the original bar in the center then the formed shape is known as X shape. The intersection of both bars is a rhombus of which side length is called crossing length.

How to Calculate Height of X Shape given Outer Arm Length and Left or Right Angle?

Height of X Shape given Outer Arm Length and Left or Right Angle calculator uses Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2) to calculate the Height of X shape, The Height of X Shape given Outer Arm Length and Left or Right Angle formula is defined as the total vertical height of the X Shape from end to end, calculated using outer arm length and left or right angle. Height of X shape is denoted by h symbol.

How to calculate Height of X Shape given Outer Arm Length and Left or Right Angle using this online calculator? To use this online calculator for Height of X Shape given Outer Arm Length and Left or Right Angle, enter Outer Arm Length of X Shape (l_{Outer Arm}) & Left and Right Angle of X Shape (∠_Left/Right) and hit the calculate button. Here is how the Height of X Shape given Outer Arm Length and Left or Right Angle calculation can be explained with given input values -> 18.47759 = 2*10*sin(2.3561944901919/2).

FAQ

What is Height of X Shape given Outer Arm Length and Left or Right Angle?

The Height of X Shape given Outer Arm Length and Left or Right Angle formula is defined as the total vertical height of the X Shape from end to end, calculated using outer arm length and left or right angle and is represented as h = 2*l_{Outer Arm}*sin(∠_Left/Right/2) or Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2). The Outer Arm Length of X Shape is the length of the outer arm of the X Shape & The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.

How to calculate Height of X Shape given Outer Arm Length and Left or Right Angle?

The Height of X Shape given Outer Arm Length and Left or Right Angle formula is defined as the total vertical height of the X Shape from end to end, calculated using outer arm length and left or right angle is calculated using Height of X shape = 2*Outer Arm Length of X Shape*sin(Left and Right Angle of X Shape/2). To calculate Height of X Shape given Outer Arm Length and Left or Right Angle, you need Outer Arm Length of X Shape (l_{Outer Arm}) & Left and Right Angle of X Shape (∠_Left/Right). With our tool, you need to enter the respective value for Outer Arm Length of X Shape & Left and Right Angle of X Shape 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 Height of X shape?

In this formula, Height of X shape uses Outer Arm Length of X Shape & Left and Right Angle of X Shape. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2)

Home

FREE PDFs

🔍 Search