Acute Angle of Rhombus given Height Calculator

✖Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.ⓘ Height of Rhombus [h]			+10% -10%
✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus [S]			+10% -10%

✖Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.ⓘ Acute Angle of Rhombus given Height [∠_Acute]

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Formula

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Acute Angle of Rhombus given Height

Formula

`"∠"_{"Acute"} = asin("h"/"S")`

Example

`"44.427°"=asin("7m"/"10m")`

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Acute Angle of Rhombus given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acute Angle of Rhombus = asin(Height of Rhombus/Side of Rhombus)
∠_Acute = asin(h/S)
This formula uses 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Acute Angle of Rhombus - (Measured in Radian) - Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
Height of Rhombus - (Measured in Meter) - Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.

STEP 1: Convert Input(s) to Base Unit

Height of Rhombus: 7 Meter --> 7 Meter No Conversion Required
Side of Rhombus: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Acute = asin(h/S) --> asin(7/10)

Evaluating ... ...

∠_Acute = 0.775397496610753

STEP 3: Convert Result to Output's Unit

0.775397496610753 Radian -->44.4270040008141 Degree (Check conversion here)

FINAL ANSWER

44.4270040008141 ≈ 44.427 Degree <-- Acute Angle of Rhombus

(Calculation completed in 00.020 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 6 Acute Angle of Rhombus Calculators

Acute Angle of Rhombus given both Diagonals

Go Acute Angle of Rhombus = asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))

Acute Angle of Rhombus given Short Diagonal

Go Acute Angle of Rhombus = acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2))

Acute Angle of Rhombus given Long Diagonal

Go Acute Angle of Rhombus = acos(Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)

Acute Angle of Rhombus given Inradius

Go Acute Angle of Rhombus = asin((2*Inradius of Rhombus)/Side of Rhombus)

Acute Angle of Rhombus given Height

Go Acute Angle of Rhombus = asin(Height of Rhombus/Side of Rhombus)

Acute Angle of Rhombus given Area

Go Acute Angle of Rhombus = asin(Area of Rhombus/Side of Rhombus^2)

Acute Angle of Rhombus given Height Formula

Acute Angle of Rhombus = asin(Height of Rhombus/Side of Rhombus)
∠_Acute = asin(h/S)

What is Rhombus?

A Rhombus is a special case of a parallelogram. In a Rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a Rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or Rhombus diamond. The plural form of a Rhombus is Rhombi or Rhombuses.

How to Calculate Acute Angle of Rhombus given Height?

Acute Angle of Rhombus given Height calculator uses Acute Angle of Rhombus = asin(Height of Rhombus/Side of Rhombus) to calculate the Acute Angle of Rhombus, The Acute Angle of Rhombus given Height is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using the height of the Rhombus. Acute Angle of Rhombus is denoted by ∠_Acute symbol.

How to calculate Acute Angle of Rhombus given Height using this online calculator? To use this online calculator for Acute Angle of Rhombus given Height, enter Height of Rhombus (h) & Side of Rhombus (S) and hit the calculate button. Here is how the Acute Angle of Rhombus given Height calculation can be explained with given input values -> 2545.48 = asin(7/10).

FAQ

What is Acute Angle of Rhombus given Height?

The Acute Angle of Rhombus given Height is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using the height of the Rhombus and is represented as ∠_Acute = asin(h/S) or Acute Angle of Rhombus = asin(Height of Rhombus/Side of Rhombus). Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side & The Side of Rhombus is the length of any of the four edges.

How to calculate Acute Angle of Rhombus given Height?

The Acute Angle of Rhombus given Height is defined as the angle inside the Rhombus which is less than 90 degrees, calculated using the height of the Rhombus is calculated using Acute Angle of Rhombus = asin(Height of Rhombus/Side of Rhombus). To calculate Acute Angle of Rhombus given Height, you need Height of Rhombus (h) & Side of Rhombus (S). With our tool, you need to enter the respective value for Height of Rhombus & Side of Rhombus 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 Acute Angle of Rhombus?

In this formula, Acute Angle of Rhombus uses Height of Rhombus & Side of Rhombus. We can use 5 other way(s) to calculate the same, which is/are as follows -

Acute Angle of Rhombus = acos(Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)
Acute Angle of Rhombus = acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2))
Acute Angle of Rhombus = asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))
Acute Angle of Rhombus = asin(Area of Rhombus/Side of Rhombus^2)
Acute Angle of Rhombus = asin((2*Inradius of Rhombus)/Side of Rhombus)

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