Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle Calculator

✖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%
✖Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.ⓘ Right Angle Side of Right Trapezoid [S_∠Right]			+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%

✖Long Base of Right Trapezoid is the longer side among the pair of parallel edges.ⓘ Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle [B_Long]

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Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid))
B_Long = B_Short+(S_∠Right*cot(∠_Acute))
This formula uses 1 Functions, 4 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

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.
Right Angle Side of Right Trapezoid - (Measured in Meter) - Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height 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

Short Base of Right Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Right Angle Side of Right Trapezoid: 10 Meter --> 10 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

B_Long = B_Short+(S_∠Right*cot(∠_Acute)) --> 15+(10*cot(1.1344640137961))

Evaluating ... ...

B_Long = 19.6630765815526

STEP 3: Convert Result to Output's Unit

19.6630765815526 Meter --> No Conversion Required

FINAL ANSWER

19.6630765815526 ≈ 19.66308 Meter <-- Long Base of Right Trapezoid

(Calculation completed in 00.080 seconds)

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< Long Base of Right Trapezoid Calculators

Long Base of Right Trapezoid given both Sides and Short base

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

Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle

LaTeX Go Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid))

Long Base of Right Trapezoid given Slant Side, Short Base, and Acute Angle

LaTeX Go Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid))

Long Base of Right Trapezoid given Central Median and Short base

LaTeX Go Long Base of Right Trapezoid = 2*Central Median of Right Trapezoid-Short Base of Right Trapezoid

Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle Formula

LaTeX Go

Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid))
B_Long = B_Short+(S_∠Right*cot(∠_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 Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle?

Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle calculator uses Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid)) to calculate the Long Base of Right Trapezoid, The Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using right angle side, short base, and acute angle. Long Base of Right Trapezoid is denoted by B_Long symbol.

How to calculate Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle using this online calculator? To use this online calculator for Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle, enter Short Base of Right Trapezoid (B_Short), Right Angle Side of Right Trapezoid (S_∠Right) & Acute Angle of Right Trapezoid (∠_Acute) and hit the calculate button. Here is how the Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle calculation can be explained with given input values -> 19.66308 = 15+(10*cot(1.1344640137961)).

FAQ

What is Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle?

The Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using right angle side, short base, and acute angle and is represented as B_Long = B_Short+(S_∠Right*cot(∠_Acute)) or Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid)). The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid, Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height 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 Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle?

The Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using right angle side, short base, and acute angle is calculated using Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid)). To calculate Long Base of Right Trapezoid given Right Angle Side, Short Base and Acute Angle, you need Short Base of Right Trapezoid (B_Short), Right Angle Side of Right Trapezoid (S_∠Right) & Acute Angle of Right Trapezoid (∠_Acute). With our tool, you need to enter the respective value for Short Base of Right Trapezoid, Right Angle 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 Long Base of Right Trapezoid?

In this formula, Long Base of Right Trapezoid uses Short Base of Right Trapezoid, Right Angle 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 -

Long Base of Right Trapezoid = 2*Central Median of Right Trapezoid-Short Base of Right Trapezoid
Long Base of Right Trapezoid = Short Base of Right Trapezoid+(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid))
Long Base of Right Trapezoid = Short Base of Right Trapezoid+sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)

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