Height of Trapezoid given Short Leg and Smaller Obtuse Angle Calculator

✖Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Short Leg of Trapezoid [L_Short]			+10% -10%
✖Smaller Obtuse Angle of Trapezoid is the smaller angle on the short base or the angle made by the short base and short leg of the Trapezoid.ⓘ Smaller Obtuse Angle of Trapezoid [∠_{Smaller Obtuse}]			+10% -10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Trapezoid Formula PDF PDF Image

Height of Trapezoid given Short Leg and Smaller Obtuse Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid)
h = L_Short*sin(∠_{Smaller 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.
Short Leg of Trapezoid - (Measured in Meter) - Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.
Smaller Obtuse Angle of Trapezoid - (Measured in Radian) - Smaller Obtuse Angle of Trapezoid is the smaller angle on the short base or the angle made by the short base and short leg of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Short Leg of Trapezoid: 9 Meter --> 9 Meter No Conversion Required
Smaller Obtuse Angle of Trapezoid: 110 Degree --> 1.9198621771934 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = L_Short*sin(∠_{Smaller Obtuse}) --> 9*sin(1.9198621771934)

Evaluating ... ...

h = 8.45723358707429

STEP 3: Convert Result to Output's Unit

8.45723358707429 Meter --> No Conversion Required

FINAL ANSWER

8.45723358707429 ≈ 8.457234 Meter <-- Height of Trapezoid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Trapezoid » Height of Trapezoid » Height of Trapezoid given Short Leg and Smaller Obtuse Angle

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< Height of Trapezoid Calculators

Height of Trapezoid

LaTeX 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

LaTeX 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 Short Leg

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

Height of Trapezoid given Long Leg

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

Height of Trapezoid given Short Leg and Smaller Obtuse Angle Formula

LaTeX Go

Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid)
h = L_Short*sin(∠_{Smaller 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 Short Leg and Smaller Obtuse Angle?

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

How to calculate Height of Trapezoid given Short Leg and Smaller Obtuse Angle using this online calculator? To use this online calculator for Height of Trapezoid given Short Leg and Smaller Obtuse Angle, enter Short Leg of Trapezoid (L_Short) & Smaller Obtuse Angle of Trapezoid (∠_{Smaller Obtuse}) and hit the calculate button. Here is how the Height of Trapezoid given Short Leg and Smaller Obtuse Angle calculation can be explained with given input values -> 8.457234 = 9*sin(1.9198621771934).

FAQ

What is Height of Trapezoid given Short Leg and Smaller Obtuse Angle?

Height of Trapezoid given Short Leg and Smaller Obtuse Angle formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using short leg and smaller obtuse angle of the Trapezoid and is represented as h = L_Short*sin(∠_{Smaller Obtuse}) or Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid). Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid & Smaller Obtuse Angle of Trapezoid is the smaller angle on the short base or the angle made by the short base and short leg of the Trapezoid.

How to calculate Height of Trapezoid given Short Leg and Smaller Obtuse Angle?

Height of Trapezoid given Short Leg and Smaller Obtuse Angle formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using short leg and smaller obtuse angle of the Trapezoid is calculated using Height of Trapezoid = Short Leg of Trapezoid*sin(Smaller Obtuse Angle of Trapezoid). To calculate Height of Trapezoid given Short Leg and Smaller Obtuse Angle, you need Short Leg of Trapezoid (L_Short) & Smaller Obtuse Angle of Trapezoid (∠_{Smaller Obtuse}). With our tool, you need to enter the respective value for Short Leg of Trapezoid & Smaller 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 Short Leg of Trapezoid & Smaller Obtuse Angle of Trapezoid. We can use 3 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)

Home

FREE PDFs

🔍 Search