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Heights & distances formulas

4 formulas for Heights & distances, from the Trigonometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

NameFormulaNote
Height from angle of elevationh = d · tan θ 🧮 Solve step by stepd horizontal distance
Distance from angle of depressiond = h / tan θ = h cot θ 🧮 Solve step by step
Two observation points (same side)h = d · tan α tan β / (tan β − tan α) 🧮 Solve step by stepα < β
Line of sightL = h / sin θ 🧮 Solve step by step

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Related: Trigonometry