From the top of a 96 m tower, the angles of depression of two cars on opposite sides of it are α and β, where tan α = 3/4 and tan β = 4/5. How far apart are the cars?

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Accepted Answer

248 m. Distances: 96 ÷ 3/4 = 128 m and 96 ÷ 4/5 = 120 m. On opposite sides they add up: 248 m.

From the top of a 96 m tower, the angles of depression of two cars on opposite sides of it are α and β, where tan α = 3/4 and tan β = 4/5. How far apart are the cars?

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