1. What is the Distance from Height and Angle Calculation?

The distance calculation using height and angle is a trigonometric method to determine the horizontal distance (D) from a known height (H) and angle of elevation or depression (θ). This is commonly used in surveying, navigation, and various engineering applications.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( D \) — Horizontal distance (units)
• \( H \) — Height or vertical distance (units)
• \( \theta \) — Angle of elevation or depression (degrees)

Explanation: The tangent of the angle relates the opposite side (height) to the adjacent side (distance) in a right triangle.

3. Importance of Distance Calculation

Details: This calculation is essential in fields where direct distance measurement is impractical, such as determining the distance to an object when you can measure its height and angle from your viewpoint.

4. Using the Calculator

Tips: Enter height in consistent units, angle in degrees (between 0 and 90). The angle should be measured from the horizontal plane.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for height?
A: You can use any units (meters, feet, etc.) as long as the distance result will be in the same units.

Q2: Does this work for angles greater than 90 degrees?
A: No, this formula is only valid for angles between 0 and 90 degrees (non-inclusive).

Q3: Can I use this for angle of depression?
A: Yes, the formula works the same for both angle of elevation and depression.

Q4: How accurate is this method?
A: Accuracy depends on precise measurement of both height and angle. Small angle measurement errors can significantly affect results at large distances.

Q5: What if my angle is exactly 90 degrees?
A: At exactly 90 degrees, the tangent is undefined (infinite), meaning the object is directly above or below you with no horizontal distance.