Hill Angle Calculator

Calculate Hill Angle



Formula

The formula to calculate the hill angle (HA) is:

\[ HA = \arctan\left(\frac{H}{HD}\right) \times 57.2958 \]

Where:

Example

Let's say the height of the hill is 10 meters, and the horizontal distance is 20 meters. Using the formula:

\[ HA = \arctan\left(\frac{10}{20}\right) \times 57.2958 \]

We get:

\[ HA = \arctan(0.5) \times 57.2958 \approx 26.57 \]

So, the hill angle (\( HA \)) is approximately 26.57 degrees.

What is Hill Angle?

The hill angle is the angle of inclination of a hill, calculated using the height of the hill and the horizontal distance. It is useful in various fields such as engineering, construction, and outdoor activities to understand the steepness of a slope.

Extended information about "Hill-Angle-Calculator"

Distance Height Angle Calculator

Definition: Calculates the angle based on distance and height.

Formula: \( \theta = \arctan \left( \frac{\text{Height}}{\text{Distance}} \right) \)

Example: \( \theta = \arctan \left( \frac{10}{50} \right) \)

Find the Angle Calculator

Definition: Calculates the angle given the lengths of the sides of a right triangle.

Formula: \( \theta = \arccos \left( \frac{\text{Adjacent}}{\text{Hypotenuse}} \right) \)

Example: \( \theta = \arccos \left( \frac{30}{50} \right) \)

Angle and Length Calculator

Definition: Calculates the length of a side given an angle and another side in a right triangle.

Formula: \( \text{Opposite} = \text{Adjacent} \times \tan(\theta) \)

Example: \( \text{Opposite} = 20 \times \tan(30^\circ) \)

Calculate Angle Based on Length and Height

Definition: Calculates the angle based on the length and height of a right triangle.

Formula: \( \theta = \arctan \left( \frac{\text{Height}}{\text{Length}} \right) \)

Example: \( \theta = \arctan \left( \frac{15}{40} \right) \)

Calculate Height with Angle

Definition: Calculates the height of a right triangle given an angle and the length of the adjacent side.

Formula: \( \text{Height} = \text{Adjacent} \times \tan(\theta) \)

Example: \( \text{Height} = 25 \times \tan(45^\circ) \)

Calculate Angle with Length and Height

Definition: Calculates the angle of a right triangle given the length and height.

Formula: \( \theta = \arctan \left( \frac{\text{Height}}{\text{Length}} \right) \)

Example: \( \theta = \arctan \left( \frac{12}{35} \right) \)