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Height of X Shape given Bottom or Top Angle Formula

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

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The Height of X Shape is the distance from the top to the bottom of the X Shape. Check FAQs

h = l Bar \cdot \cos (\frac{∠ Bottom/Top}{2})

h - Height of X shape?l_Bar - Bar Length of X Shape?∠_Bottom/Top - Bottom and Top Angle of X Shape?

Height of X Shape given Bottom or Top Angle Example

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Here is how the Height of X Shape given Bottom or Top Angle equation looks like with Values.

Here is how the Height of X Shape given Bottom or Top Angle equation looks like with Units.

Here is how the Height of X Shape given Bottom or Top Angle equation looks like.

18.4776 = 20 \cdot \cos (\frac{45}{2})

18.4776m = 20m \cdot \cos (\frac{45°}{2})

18.4776 = 20 \cdot \cos (\frac{45}{2})

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Height of X Shape given Bottom or Top Angle Solution

Follow our step by step solution on how to calculate Height of X Shape given Bottom or Top Angle?

FIRST Step Consider the formula

h = l Bar \cdot \cos (\frac{∠ Bottom/Top}{2})

Next Step Substitute values of Variables

∴

h = 20m \cdot \cos (\frac{45°}{2})

Next Step Convert Units

∴

h = 20m \cdot \cos (\frac{0.7854rad}{2})

Next Step Prepare to Evaluate

∴

h = 20 \cdot \cos (\frac{0.7854}{2})

Next Step Evaluate

∴

h = 18.4775906502263m

LAST Step Rounding Answer

∴

h = 18.4776m

Height of X Shape given Bottom or Top Angle Formula Elements

Variables

Functions

Height of X shape

The Height of X Shape is the distance from the top to the bottom of the X Shape.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of X shape

Bar Length of X Shape

Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape.

Symbol: l_Bar

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Bar Length of X Shape

Bottom and Top Angle 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.

Symbol: ∠_Bottom/Top

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Bottom and Top Angle of X 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)

Credits

Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

Devendar Kachhwaha has created this Formula and 10+ more formulas!

Verified by Nayana Phulphagar

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

Nayana Phulphagar has verified this Formula and 1500+ more formulas!

Other Formulas to find Height of X shape

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

h = 2 \cdot l Outer Arm \cdot \sin (\frac{∠ Left/Right}{2})

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

Height of X Shape given Bottom or Top Angle evaluator uses Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2) to evaluate 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 evaluate Height of X Shape given Bottom or Top Angle using this online evaluator? To use this online evaluator 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.

FAQs on Height of X Shape given Bottom or Top Angle

What is the formula to find Height of X Shape given Bottom or Top Angle?

The formula of Height of X Shape given Bottom or Top Angle is expressed as Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2). Here is an example- 18.47759 = 20*cos(0.785398163397301/2).

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

With Bar Length of X Shape (l_Bar) & Bottom and Top Angle of X Shape (∠_Bottom/Top) we can find Height of X Shape given Bottom or Top Angle using the formula - Height of X shape = Bar Length of X Shape*cos(Bottom and Top Angle of X Shape/2). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Height of X shape?

Here are the different ways to Calculate Height of X shape-

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

Can the Height of X Shape given Bottom or Top Angle be negative?

No, the Height of X Shape given Bottom or Top Angle, measured in Length cannot be negative.

Which unit is used to measure Height of X Shape given Bottom or Top Angle?

Height of X Shape given Bottom or Top Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of X Shape given Bottom or Top Angle can be measured.

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