Part of TRIG-03 — Properties of Triangles & Heights-Distances

Two-Point Observation Problems

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Classic setup: observer at two points on level ground, different distances from a tower, measuring different angles of elevation. Let h = height, d = closer distance, D = farther distance. tan(alpha) = hd\frac{h}{d}, tan(beta) = hD\frac{h}{D}. If D - d is known, solve the system. Key formula: h = d*tan(alpha) = (d+L)*tan(beta) where L is the distance between observation points.

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