Hypotenuse of Right Angle Triangle given Sin Alpha Calculator

✖Opposite Side of Angle Alpha is the length of the non-hypotenuse edge of a right triangle which is opposite to the given non-right angle α.ⓘ Opposite Side of Angle Alpha [S_Opposite]			+10% -10%
✖Angle Alpha of Trigonometry is the value of the non-right angle of a right triangle used to calculate Trigonometric Ratios.ⓘ Angle Alpha of Trigonometry [α]			+10% -10%

✖The Hypotenuse Side of Right Angled Triangle is the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees).ⓘ Hypotenuse of Right Angle Triangle given Sin Alpha [S_Hypotenuse]

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Hypotenuse of Right Angle Triangle given Sin Alpha Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hypotenuse Side = Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry)
S_Hypotenuse = S_Opposite/sin(α)
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

Hypotenuse Side - (Measured in Meter) - The Hypotenuse Side of Right Angled Triangle is the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees).
Opposite Side of Angle Alpha - (Measured in Meter) - Opposite Side of Angle Alpha is the length of the non-hypotenuse edge of a right triangle which is opposite to the given non-right angle α.
Angle Alpha of Trigonometry - (Measured in Radian) - Angle Alpha of Trigonometry is the value of the non-right angle of a right triangle used to calculate Trigonometric Ratios.

STEP 1: Convert Input(s) to Base Unit

Opposite Side of Angle Alpha: 4 Meter --> 4 Meter No Conversion Required
Angle Alpha of Trigonometry: 53 Degree --> 0.925024503556821 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_Hypotenuse = S_Opposite/sin(α) --> 4/sin(0.925024503556821)

Evaluating ... ...

S_Hypotenuse = 5.00854263262556

STEP 3: Convert Result to Output's Unit

5.00854263262556 Meter --> No Conversion Required

FINAL ANSWER

5.00854263262556 ≈ 5.008543 Meter <-- Hypotenuse Side

(Calculation completed in 00.020 seconds)

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

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< Trigonometry Ratios Calculators

Tan Alpha

LaTeX Go Tan Alpha = Opposite Side of Angle Alpha/Adjacent Side of Angle Alpha

Cot Alpha

LaTeX Go Cot Alpha = Adjacent Side of Angle Alpha/Opposite Side of Angle Alpha

Sin Alpha

LaTeX Go Sin Alpha = Opposite Side of Angle Alpha/Hypotenuse Side

Cos Alpha

LaTeX Go Cos Alpha = Adjacent Side of Angle Alpha/Hypotenuse Side

Hypotenuse of Right Angle Triangle given Sin Alpha Formula

LaTeX Go

Hypotenuse Side = Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry)
S_Hypotenuse = S_Opposite/sin(α)

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study and describe properties such as lengths, angles, and areas of triangles, as well as the relationships between these properties and the properties of circles and other geometric shapes. Trigonometry is used in many fields, including physics, engineering, and navigation.

How to Calculate Hypotenuse of Right Angle Triangle given Sin Alpha?

Hypotenuse of Right Angle Triangle given Sin Alpha calculator uses Hypotenuse Side = Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry) to calculate the Hypotenuse Side, The Hypotenuse of Right Angle Triangle given Sin Alpha formula is defined as the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees), and calculated using the value of trigonometric sine function of angle alpha of Trigonometry. Hypotenuse Side is denoted by S_Hypotenuse symbol.

How to calculate Hypotenuse of Right Angle Triangle given Sin Alpha using this online calculator? To use this online calculator for Hypotenuse of Right Angle Triangle given Sin Alpha, enter Opposite Side of Angle Alpha (S_Opposite) & Angle Alpha of Trigonometry (α) and hit the calculate button. Here is how the Hypotenuse of Right Angle Triangle given Sin Alpha calculation can be explained with given input values -> 5.008543 = 4/sin(0.925024503556821).

FAQ

What is Hypotenuse of Right Angle Triangle given Sin Alpha?

The Hypotenuse of Right Angle Triangle given Sin Alpha formula is defined as the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees), and calculated using the value of trigonometric sine function of angle alpha of Trigonometry and is represented as S_Hypotenuse = S_Opposite/sin(α) or Hypotenuse Side = Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry). Opposite Side of Angle Alpha is the length of the non-hypotenuse edge of a right triangle which is opposite to the given non-right angle α & Angle Alpha of Trigonometry is the value of the non-right angle of a right triangle used to calculate Trigonometric Ratios.

How to calculate Hypotenuse of Right Angle Triangle given Sin Alpha?

The Hypotenuse of Right Angle Triangle given Sin Alpha formula is defined as the longest side of the right-angled triangle and it is the side opposite to the right angle (90 degrees), and calculated using the value of trigonometric sine function of angle alpha of Trigonometry is calculated using Hypotenuse Side = Opposite Side of Angle Alpha/sin(Angle Alpha of Trigonometry). To calculate Hypotenuse of Right Angle Triangle given Sin Alpha, you need Opposite Side of Angle Alpha (S_Opposite) & Angle Alpha of Trigonometry (α). With our tool, you need to enter the respective value for Opposite Side of Angle Alpha & Angle Alpha of Trigonometry 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 Hypotenuse Side?

In this formula, Hypotenuse Side uses Opposite Side of Angle Alpha & Angle Alpha of Trigonometry. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hypotenuse Side = Adjacent Side of Angle Alpha/cos(Angle Alpha of Trigonometry)

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