Height of X Shape given Bottom or Top Angle Calculator

✖Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape.ⓘ Bar Length of X Shape [l_Bar]			+10% -10%
✖The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.ⓘ Bottom and Top Angle of X Shape [∠_Bottom/Top]			+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 Bottom or Top Angle [h]

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Height of X Shape given Bottom or Top Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2)
h = l_Bar*cos(∠_Bottom/Top/2)
This formula uses 1 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)

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.
Bar Length of X Shape - (Measured in Meter) - Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape.
Bottom and Top Angle of X Shape - (Measured in Radian) - The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.

STEP 1: Convert Input(s) to Base Unit

Bar Length of X Shape: 20 Meter --> 20 Meter No Conversion Required
Bottom and Top Angle of X Shape: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = l_Bar*cos(∠_Bottom/Top/2) --> 20*cos(0.785398163397301/2)

Evaluating ... ...

h = 18.4775906502263

STEP 3: Convert Result to Output's Unit

18.4775906502263 Meter --> No Conversion Required

FINAL ANSWER

18.4775906502263 ≈ 18.47759 Meter <-- Height of X shape

(Calculation completed in 00.021 seconds)

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Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

Devendar Kachhwaha has created this Calculator and 10+ more calculators!

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

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< Height of X Shape Calculators

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

LaTeX 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

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

Height of X Shape given Bottom or Top Angle Formula

LaTeX Go

Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2)
h = l_Bar*cos(∠_Bottom/Top/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 Bottom or Top Angle?

Height of X Shape given Bottom or Top Angle calculator uses Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2) to calculate the Height of X shape, The Height of X Shape given Bottom or Top Angle is defined as the total vertical height of the X shape calculated using the bottom or top angle of the X Shape. Height of X shape is denoted by h symbol.

How to calculate Height of X Shape given Bottom or Top Angle using this online calculator? To use this online calculator for Height of X Shape given Bottom or Top Angle, enter Bar Length of X Shape (l_Bar) & Bottom and Top Angle of X Shape (∠_Bottom/Top) and hit the calculate button. Here is how the Height of X Shape given Bottom or Top Angle calculation can be explained with given input values -> 18.47759 = 20*cos(0.785398163397301/2).

FAQ

What is Height of X Shape given Bottom or Top Angle?

The Height of X Shape given Bottom or Top Angle is defined as the total vertical height of the X shape calculated using the bottom or top angle of the X Shape and is represented as h = l_Bar*cos(∠_Bottom/Top/2) or Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2). Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape & The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.

How to calculate Height of X Shape given Bottom or Top Angle?

The Height of X Shape given Bottom or Top Angle is defined as the total vertical height of the X shape calculated using the bottom or top angle of the X Shape is calculated using Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2). To calculate Height of X Shape given Bottom or Top Angle, you need Bar Length of X Shape (l_Bar) & Bottom and Top Angle of X Shape (∠_Bottom/Top). With our tool, you need to enter the respective value for Bar Length of X Shape & Bottom and Top 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 Bar Length of X Shape & Bottom and Top Angle of X Shape. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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