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Two observation points (same side)
h = d · tan α tan β / (tan β − tan α)
Where: α = angle α, β = angle β, d = horizontal distance, h = height
Solved example
Given: alpha = 30°, beta = 45°, d = 10
Find: h (height)
- Formula: h = d·tan(α)·tan(β)/(-tan(α) + tan(β))
- Substitute the values: h = 10·tan(30°)·tan(45°)/(-tan(30°) + tan(45°))
- Result: h = 13.660254
Answer: h = 13.660254
Calculator
How to calculate Two observation points (same side)
- Write down the formula: h = d · tan α tan β / (tan β − tan α).
- Note the known values (α, β, d).
- Substitute them and simplify to find h.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Two observation points (same side)?
The formula is h = d · tan α tan β / (tan β − tan α), where α = angle α, β = angle β, d = horizontal distance, h = height.
What is Two observation points (same side) when alpha = 30°, beta = 45°, d = 10?
h = 13.660254. Substitute the values into h = d · tan α tan β / (tan β − tan α) and simplify.