1. What is the Breadth of Rectangle Formula?

The formula calculates the breadth of a rectangle when the length and the angle between the diagonal and breadth are known. This trigonometric approach provides an accurate measurement of the rectangle's shorter dimension.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of Rectangle (m)
• \( l \) — Length of Rectangle (m)
• \( \angle_{db} \) — Angle between Diagonal and Breadth of Rectangle (°)

Explanation: The formula uses the tangent trigonometric function to relate the known length and angle to find the unknown breadth of the rectangle.

3. Importance of Rectangle Geometry

Details: Understanding rectangle geometry and trigonometric relationships is crucial for various applications in mathematics, engineering, architecture, and design where precise dimensional calculations are required.

4. Using the Calculator

Tips: Enter the length in meters and the angle in degrees (between 0 and 90). Both values must be positive numbers with length > 0 and angle between 0-90 degrees.

5. Frequently Asked Questions (FAQ)

Q1: Why use the tangent function in this calculation?
A: The tangent function relates the opposite side (length) to the adjacent side (breadth) in the right triangle formed by the rectangle's diagonal.

Q2: What is the range of valid angle values?
A: The angle must be between 0 and 90 degrees (exclusive) for the tangent function to work properly in this context.

Q3: Can this formula be used for squares?
A: Yes, but for squares the angle between diagonal and breadth would be 45 degrees, making the calculation straightforward.

Q4: What units should I use for the inputs?
A: Length should be in meters and angle in degrees. The calculator will output breadth in meters.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the trigonometric relationship, provided accurate input values are given.