Angle Based Length Calculator
Calculate base length using height and angle in degrees. Just enter the height and degrees in the input field.
| Dimension | mm | cm | inch |
|---|---|---|---|
| Height | 150.00 | 15.00 | 5.91 |
| Base | 259.81 | 25.98 | 10.23 |
| Hypotenuse | 300.00 | 30.00 | 11.81 |
| Angle | 30.00° | ||
What is an Angle-Based Length Calculator?
An angle-based length calculator helps calculate the base and hypotenuse of a right triangle using the given vertical height and angle (in degrees). It uses trigonometric functions like tangent and sine to compute the results.
Formula:
The formula used in this calculation is given below:
-
Base Calculation:
Base = Height / tan(Angle)
Where:
Height = Vertical side
Angle = Angle between height and hypotenuse
tan = Tangent trigonometric function -
Hypotenuse Calculation:
Hypotenuse = Height / sin(Angle)
Where:
sin = Sine trigonometric function -
Unit Conversions:
1 cm = 10 mm
1 inch = 25.4 mm
Example
Let the height and angle be as follows:
- Height = 150 mm
- Angle = 30°
Calculations:
-
Convert angle to radians:
30° × (π / 180) ≈ 0.5236 rad -
Calculate base:
Base = 150 / tan(30°) = 150 / 0.5774 ≈ 259.81 mm -
Calculate hypotenuse:
Hypotenuse = 150 / sin(30°) = 150 / 0.5 = 300.00 mm -
Convert to other units:
Base in cm: 259.81 mm × 0.1 = 25.98 cm
Hypotenuse in inches: 300 mm × 0.03937 = 11.81 inches
