1. What is the Adjacent Side of Angle Alpha?

The adjacent side of angle alpha in a right triangle is the side that forms the angle alpha along with the hypotenuse. It is the non-hypotenuse edge that is next to the given angle alpha.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• Opposite Side — The side opposite to angle alpha (in meters)
• α — Angle Alpha of Trigonometry (in degrees)
• tan — Tangent trigonometric function

Explanation: The formula uses the tangent ratio which relates the opposite side to the adjacent side in a right triangle.

3. Importance of Adjacent Side Calculation

Details: Calculating the adjacent side is fundamental in trigonometry and has applications in various fields including engineering, physics, architecture, and navigation where right triangle relationships are used.

4. Using the Calculator

Tips: Enter the opposite side length in meters and the angle alpha in degrees. The angle must be between 0° and 90° (non-inclusive) for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of valid angles for this calculation?
A: The angle alpha must be between 0° and 90° (exclusive) for the tangent function to be defined and meaningful in a right triangle context.

Q2: Can this formula be used for any triangle?
A: No, this specific formula applies only to right triangles where one angle is exactly 90 degrees.

Q3: What if the angle is 90 degrees?
A: At 90 degrees, the tangent function is undefined, so the calculation is not possible with this formula.

Q4: How accurate is this calculation?
A: The accuracy depends on the precision of your inputs. The calculator uses PHP's built-in trigonometric functions which provide high precision.

Q5: Can I use different units of measurement?
A: The formula works with any consistent units, but the calculator is set up for meters. You can use other units as long as you're consistent with your measurements.