Height of Right Trapezoid given Acute Angle and Slant Side Calculator

✖Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.ⓘ Slant Side of Right Trapezoid [S_Slant]			+10% -10%
✖Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.ⓘ Acute Angle of Right Trapezoid [∠_Acute]			+10% -10%

✖Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.ⓘ Height of Right Trapezoid given Acute Angle and Slant Side [h]

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Height of Right Trapezoid given Acute Angle and Slant Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid)
h = S_Slant*sin(∠_Acute)
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 Right Trapezoid - (Measured in Meter) - Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.
Slant Side of Right Trapezoid - (Measured in Meter) - Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.
Acute Angle of Right Trapezoid - (Measured in Radian) - Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Slant Side of Right Trapezoid: 11 Meter --> 11 Meter No Conversion Required
Acute Angle of Right Trapezoid: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = S_Slant*sin(∠_Acute) --> 11*sin(1.1344640137961)

Evaluating ... ...

h = 9.96938565740215

STEP 3: Convert Result to Output's Unit

9.96938565740215 Meter --> No Conversion Required

FINAL ANSWER

9.96938565740215 ≈ 9.969386 Meter <-- Height of Right Trapezoid

(Calculation completed in 00.004 seconds)

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< Height of Right Trapezoid Calculators

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals

LaTeX Go Height of Right Trapezoid = (Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Angle between Diagonals of Right Trapezoid)

Height of Right Trapezoid

LaTeX Go Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)

Height of Right Trapezoid given both Bases and Acute Angle

LaTeX Go Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)

Height of Right Trapezoid given Acute Angle and Slant Side

LaTeX Go Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid)

Height of Right Trapezoid given Acute Angle and Slant Side Formula

LaTeX Go

Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid)
h = S_Slant*sin(∠_Acute)

What is a Right Trapezoid?

A Right Trapezoid is a flat figure with four sides, such that two of them are parallel to each other, called bases and also one of the other sides is perpendicular to the bases, In other words, it means that such a trapezoid must contain two right angles, one acute angle and one obtuse angle. It is used while evaluating the area under the curve, under that trapezoidal rule

How to Calculate Height of Right Trapezoid given Acute Angle and Slant Side?

Height of Right Trapezoid given Acute Angle and Slant Side calculator uses Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid) to calculate the Height of Right Trapezoid, Height of Right Trapezoid given Acute Angle and Slant Side formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using acute angle and slant side. Height of Right Trapezoid is denoted by h symbol.

How to calculate Height of Right Trapezoid given Acute Angle and Slant Side using this online calculator? To use this online calculator for Height of Right Trapezoid given Acute Angle and Slant Side, enter Slant Side of Right Trapezoid (S_Slant) & Acute Angle of Right Trapezoid (∠_Acute) and hit the calculate button. Here is how the Height of Right Trapezoid given Acute Angle and Slant Side calculation can be explained with given input values -> 9.969386 = 11*sin(1.1344640137961).

FAQ

What is Height of Right Trapezoid given Acute Angle and Slant Side?

Height of Right Trapezoid given Acute Angle and Slant Side formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using acute angle and slant side and is represented as h = S_Slant*sin(∠_Acute) or Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid). Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid & Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

How to calculate Height of Right Trapezoid given Acute Angle and Slant Side?

Height of Right Trapezoid given Acute Angle and Slant Side formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using acute angle and slant side is calculated using Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid). To calculate Height of Right Trapezoid given Acute Angle and Slant Side, you need Slant Side of Right Trapezoid (S_Slant) & Acute Angle of Right Trapezoid (∠_Acute). With our tool, you need to enter the respective value for Slant Side of Right Trapezoid & Acute Angle of Right Trapezoid 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 Right Trapezoid?

In this formula, Height of Right Trapezoid uses Slant Side of Right Trapezoid & Acute Angle of Right Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)
Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)
Height of Right Trapezoid = (Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Angle between Diagonals of Right Trapezoid)

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