What is a method for estimating heights without directly seeing them or knowing their width/depth?

 There are several methods for estimating heights without directly seeing them or knowing their width/depth, each with varying degrees of accuracy and complexity. Here are some options:

Using shadows:

• Sun's angle: This method involves measuring the length of the object's shadow and the shadow of a reference object of known height at the same time. Knowing the sun's angle (which can be obtained from an app or table) and applying trigonometry, you can calculate the object's height.
• Similar triangles: If you can find a similar triangle formed by the object's shadow and another object's shadow with known height, you can use the ratio of their side lengths to estimate the object's height.

Using sound:

• Echo distance: If you can measure the time it takes for a sound wave to travel to the object and back, you can calculate the distance and divide it by two to estimate the height. This method requires specialized equipment and accurate timing.

Using triangulation:

• Two-point triangulation: By measuring the angles between the base of the object and the top from two different points, you can use trigonometry to calculate the height. This method requires careful measurements and calculations.

Using perspective and reference objects:

• Vanishing point technique: If you have a clear viewpoint with a vanishing point (where parallel lines converge in the distance), you can estimate the height of the object relative to another object of known height using their positions and angles from the vanishing point.

Using known features:

• For natural objects: If you know the typical height of certain trees, mountains, or other natural features in the area, you can use them as reference points to estimate the height of the object relative to them.
• For man-made structures: If you know the standard sizes of certain parts of a building or structure, like windows or doors, you can use them as reference points to estimate the overall height.

Important notes:

• These methods are estimates and cannot guarantee perfect accuracy.
• The accuracy depends on various factors like the chosen method, measurement precision, distance from the object, and environmental conditions.
• Some methods require specialized equipment or knowledge.

It's always best to choose a method suitable for your specific situation and available resources. Combining multiple methods may also improve the accuracy of your estimate.