Two pillars of equal heights stand on either side of a roadway, which is 120 m wide. At a point on the road lying between the pillars, the elevations of the pillars are 60° and 30° respectively. Find the height of each pillar and the position of the point.
Heights & Distances
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Question

Two pillars of equal heights stand on either side of a roadway, which is 120 m wide. At a point on the road lying between the pillars, the elevations of the pillars are 60° and 30° respectively. Find the height of each pillar and the position of the point.

Heights & Distances

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KnowledgeBoat · Accepted Answer

Given, AB and CD are the two towers of height h meters. E is a point in the roadway BD such that BD = 120 m, ∠AEB = 60° and ∠CED = 30°. In ∆ABE, In △CDE, We know that, ⇒ BD = 120 m ⇒ BE + ED = 120 m From (1) and (2), we get : From equation (1), = 30 meters. Hence, height of each pillar is 51.96 m and the point E is 30 m from the pillar AB.

Mathematics

Two pillars of equal heights stand on either side of a roadway, which is 120 m wide. At a point on the road lying between the pillars, the elevations of the pillars are 60° and 30° respectively. Find the height of each pillar and the position of the point.

Heights & Distances

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