Height of Trapezoid given Long Leg and Larger Obtuse Angle Calculator

✖Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Long Leg of Trapezoid [L_Long]			+10% -10%
✖Larger Obtuse Angle of Trapezoid is the larger angle on the short base or the angle made by the short base and long leg of the Trapezoid.ⓘ Larger Obtuse Angle of Trapezoid [∠_{Larger Obtuse}]			+10% -10%

✖Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.ⓘ Height of Trapezoid given Long Leg and Larger Obtuse Angle [h]

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Formula

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Height of Trapezoid given Long Leg and Larger Obtuse Angle

Formula

`"h" = "L"_{"Long"}*sin("∠"_{"Larger Obtuse"})`

Example

`"8.426489m"="11m"*sin("130°")`

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Height of Trapezoid given Long Leg and Larger Obtuse Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Trapezoid = Long Leg of Trapezoid*sin(Larger Obtuse Angle of Trapezoid)
h = L_Long*sin(∠_{Larger Obtuse})
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 Trapezoid - (Measured in Meter) - Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.
Long Leg of Trapezoid - (Measured in Meter) - Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.
Larger Obtuse Angle of Trapezoid - (Measured in Radian) - Larger Obtuse Angle of Trapezoid is the larger angle on the short base or the angle made by the short base and long leg of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Leg of Trapezoid: 11 Meter --> 11 Meter No Conversion Required
Larger Obtuse Angle of Trapezoid: 130 Degree --> 2.2689280275922 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = L_Long*sin(∠_{Larger Obtuse}) --> 11*sin(2.2689280275922)

Evaluating ... ...

h = 8.42648887431179

STEP 3: Convert Result to Output's Unit

8.42648887431179 Meter --> No Conversion Required

FINAL ANSWER

8.42648887431179 ≈ 8.426489 Meter <-- Height of Trapezoid

(Calculation completed in 00.004 seconds)

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< 11 Height of Trapezoid Calculators

Height of Trapezoid

Go Height of Trapezoid = sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2)

Height of Trapezoid given Both Diagonals and Base Angle between Diagonals

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

Height of Trapezoid given Both Diagonals and Leg Angle between Diagonals

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

Height of Trapezoid given Central Median and Base Angle between Diagonals

Go Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Central Median of Trapezoid)*sin(Base Angle between Diagonals of Trapezoid)

Height of Trapezoid given Central Median and Leg Angle between Diagonals

Go Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Central Median of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)

Height of Trapezoid given Area

Go Height of Trapezoid = (2*Area of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid)

Height of Trapezoid given Short Leg and Smaller Obtuse Angle

Go Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid)

Height of Trapezoid given Long Leg and Larger Obtuse Angle

Go Height of Trapezoid = Long Leg of Trapezoid*sin(Larger Obtuse Angle of Trapezoid)

Height of Trapezoid given Short Leg

Go Height of Trapezoid = Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid)

Height of Trapezoid given Long Leg

Go Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)

Height of Trapezoid given Area and Central Median

Go Height of Trapezoid = Area of Trapezoid/Central Median of Trapezoid

Height of Trapezoid given Long Leg and Larger Obtuse Angle Formula

Height of Trapezoid = Long Leg of Trapezoid*sin(Larger Obtuse Angle of Trapezoid)
h = L_Long*sin(∠_{Larger Obtuse})

What is a Trapezoid?

Trapezoid is a quadrilateral with one pair of opposite and parallel sides. The pair of parallel sides is called the bases of the Trapezoid and the pair of non parallel edges is called the legs of the Trapezoid. Out of the four angles, in general a Trapezoid has 2 acute angles and 2 obtuse angles which are pairwise supplementary angles.

How to Calculate Height of Trapezoid given Long Leg and Larger Obtuse Angle?

Height of Trapezoid given Long Leg and Larger Obtuse Angle calculator uses Height of Trapezoid = Long Leg of Trapezoid*sin(Larger Obtuse Angle of Trapezoid) to calculate the Height of Trapezoid, Height of Trapezoid given Long Leg and Larger Obtuse Angle is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using long leg and larger obtuse angle of the Trapezoid. Height of Trapezoid is denoted by h symbol.

How to calculate Height of Trapezoid given Long Leg and Larger Obtuse Angle using this online calculator? To use this online calculator for Height of Trapezoid given Long Leg and Larger Obtuse Angle, enter Long Leg of Trapezoid (L_Long) & Larger Obtuse Angle of Trapezoid (∠_{Larger Obtuse}) and hit the calculate button. Here is how the Height of Trapezoid given Long Leg and Larger Obtuse Angle calculation can be explained with given input values -> 8.426489 = 11*sin(2.2689280275922).

FAQ

What is Height of Trapezoid given Long Leg and Larger Obtuse Angle?

Height of Trapezoid given Long Leg and Larger Obtuse Angle is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using long leg and larger obtuse angle of the Trapezoid and is represented as h = L_Long*sin(∠_{Larger Obtuse}) or Height of Trapezoid = Long Leg of Trapezoid*sin(Larger Obtuse Angle of Trapezoid). Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid & Larger Obtuse Angle of Trapezoid is the larger angle on the short base or the angle made by the short base and long leg of the Trapezoid.

How to calculate Height of Trapezoid given Long Leg and Larger Obtuse Angle?

Height of Trapezoid given Long Leg and Larger Obtuse Angle is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using long leg and larger obtuse angle of the Trapezoid is calculated using Height of Trapezoid = Long Leg of Trapezoid*sin(Larger Obtuse Angle of Trapezoid). To calculate Height of Trapezoid given Long Leg and Larger Obtuse Angle, you need Long Leg of Trapezoid (L_Long) & Larger Obtuse Angle of Trapezoid (∠_{Larger Obtuse}). With our tool, you need to enter the respective value for Long Leg of Trapezoid & Larger Obtuse Angle of 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 Trapezoid?

In this formula, Height of Trapezoid uses Long Leg of Trapezoid & Larger Obtuse Angle of Trapezoid. We can use 10 other way(s) to calculate the same, which is/are as follows -

Height of Trapezoid = sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2)
Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)
Height of Trapezoid = Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid)
Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid)*sin(Base Angle between Diagonals of Trapezoid)
Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)
Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Central Median of Trapezoid)*sin(Base Angle between Diagonals of Trapezoid)
Height of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Central Median of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)
Height of Trapezoid = Area of Trapezoid/Central Median of Trapezoid
Height of Trapezoid = (2*Area of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid)
Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid)

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