Geometry
Height from a side and an angle
Lets you recover the height when only the slanted side and the interior angle are known.
The Formula
h = side x sin(angle)
Lets you recover the height when only the slanted side and the interior angle are known.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| h | Height | metres | Perpendicular distance between the parallel sides. |
| s | Side | metres | Slanted side length. |
| angle | Angle | degrees | Angle between the side and the base. |
What Each Symbol Means
hmetres
Height
Perpendicular distance between the parallel sides.
smetres
Side
Slanted side length.
angledegrees
Angle
Angle between the side and the base.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate the area of a parallelogram page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Calculate The Area Of A Parallelogram, filed under Math. Every number the guide produces comes from substituting into this one line.