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

✖Long Diagonal of Right Trapezoid is the longest line joining the acute angle corner to the opposite vertex of the Right Trapezoid.ⓘ Long Diagonal of Right Trapezoid [d_Long]			+10% -10%
✖Short Diagonal of Right Trapezoid is the short line joining obtuse angle corner to the opposite vertex of the Right Trapezoid.ⓘ Short Diagonal of Right Trapezoid [d_Short]			+10% -10%
✖Long Base of Right Trapezoid is the longer side among the pair of parallel edges.ⓘ Long Base of Right Trapezoid [B_Long]			+10% -10%
✖The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.ⓘ Short Base of Right Trapezoid [B_Short]			+10% -10%
✖Angle between Diagonals of Right Trapezoid is the angle formed at the point of intersection of both the diagonals of the Right Trapezoid.ⓘ Angle between Diagonals of Right Trapezoid [∠_Diagonals]			+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 both Diagonals, both Bases, and Angle between Diagonals [h]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
h = (d_Long*d_Short)/(B_Long+B_Short)*sin(∠_Diagonals)
This formula uses 1 Functions, 6 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.
Long Diagonal of Right Trapezoid - (Measured in Meter) - Long Diagonal of Right Trapezoid is the longest line joining the acute angle corner to the opposite vertex of the Right Trapezoid.
Short Diagonal of Right Trapezoid - (Measured in Meter) - Short Diagonal of Right Trapezoid is the short line joining obtuse angle corner to the opposite vertex of the Right Trapezoid.
Long Base of Right Trapezoid - (Measured in Meter) - Long Base of Right Trapezoid is the longer side among the pair of parallel edges.
Short Base of Right Trapezoid - (Measured in Meter) - The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.
Angle between Diagonals of Right Trapezoid - (Measured in Radian) - Angle between Diagonals of Right Trapezoid is the angle formed at the point of intersection of both the diagonals of the Right Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Right Trapezoid: 22 Meter --> 22 Meter No Conversion Required
Short Diagonal of Right Trapezoid: 18 Meter --> 18 Meter No Conversion Required
Long Base of Right Trapezoid: 20 Meter --> 20 Meter No Conversion Required
Short Base of Right Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Angle between Diagonals of Right Trapezoid: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (d_Long*d_Short)/(B_Long+B_Short)*sin(∠_Diagonals) --> (22*18)/(20+15)*sin(1.0471975511964)

Evaluating ... ...

h = 9.79845885424567

STEP 3: Convert Result to Output's Unit

9.79845885424567 Meter --> No Conversion Required

FINAL ANSWER

9.79845885424567 ≈ 9.798459 Meter <-- Height of Right Trapezoid

(Calculation completed in 00.020 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 both Diagonals, both Bases, and Angle between Diagonals Formula

LaTeX Go

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 both Diagonals, both Bases, and Angle between Diagonals?

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals calculator uses 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) to calculate the Height of Right Trapezoid, Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using both diagonals, both bases, and angle between diagonals. Height of Right Trapezoid is denoted by h symbol.

How to calculate Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals using this online calculator? To use this online calculator for Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals, enter Long Diagonal of Right Trapezoid (d_Long), Short Diagonal of Right Trapezoid (d_Short), Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Angle between Diagonals of Right Trapezoid (∠_Diagonals) and hit the calculate button. Here is how the Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals calculation can be explained with given input values -> 9.798459 = (22*18)/(20+15)*sin(1.0471975511964).

FAQ

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

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using both diagonals, both bases, and angle between diagonals and is represented as h = (d_Long*d_Short)/(B_Long+B_Short)*sin(∠_Diagonals) or 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). Long Diagonal of Right Trapezoid is the longest line joining the acute angle corner to the opposite vertex of the Right Trapezoid, Short Diagonal of Right Trapezoid is the short line joining obtuse angle corner to the opposite vertex of the Right Trapezoid, Long Base of Right Trapezoid is the longer side among the pair of parallel edges, The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid & Angle between Diagonals of Right Trapezoid is the angle formed at the point of intersection of both the diagonals of the Right Trapezoid.

How to calculate Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals?

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using both diagonals, both bases, and angle between diagonals is calculated using 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). To calculate Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals, you need Long Diagonal of Right Trapezoid (d_Long), Short Diagonal of Right Trapezoid (d_Short), Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Angle between Diagonals of Right Trapezoid (∠_Diagonals). With our tool, you need to enter the respective value for Long Diagonal of Right Trapezoid, Short Diagonal of Right Trapezoid, Long Base of Right Trapezoid, Short Base of Right Trapezoid & Angle between Diagonals 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 Long Diagonal of Right Trapezoid, Short Diagonal of Right Trapezoid, Long Base of Right Trapezoid, Short Base of Right Trapezoid & Angle between Diagonals 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 = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid)

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