From a window A, 10 m above the ground, the angle of elevation of the top C of a tower is x°, where tan x = and the angle of depression of the foot D of the tower is y°, where tan y = . See the figure given alongside. Calculate the height CD of the tower in metres.

Question

KnowledgeBoat · Accepted Answer

⇒ AB = DE = 10 m. In ∆AED, In ∆AEC, From figure, CD = DE + CE = 10 + 100 = 110 m. Hence, height of tower (CD) = 110 m.

Mathematics

From a window A, 10 m above the ground, the angle of elevation of the top C of a tower is x°, where tan x = and the angle of depression of the foot D of the tower is y°, where tan y = . See the figure given alongside. Calculate the height CD of the tower in metres.

Heights & Distances

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