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Question-189976




Question Number 189976 by 073 last updated on 25/Mar/23
Answered by JDamian last updated on 25/Mar/23
E
$${E} \\ $$
Commented by 073 last updated on 25/Mar/23
solution
$$\mathrm{solution} \\ $$
Answered by HeferH last updated on 26/Mar/23
let HD = x  DB = x(√2)  cot α = (1/(tan α))   tan α = (x/(x(√2))) = (1/( (√2)))  ⇒ cot α = (√2)
$$\mathrm{let}\:\mathrm{HD}\:=\:\mathrm{x} \\ $$$$\mathrm{DB}\:=\:\mathrm{x}\sqrt{\mathrm{2}} \\ $$$$\mathrm{cot}\:\alpha\:=\:\frac{\mathrm{1}}{\mathrm{tan}\:\alpha}\: \\ $$$$\mathrm{tan}\:\alpha\:=\:\frac{\mathrm{x}}{\mathrm{x}\sqrt{\mathrm{2}}}\:=\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}} \\ $$$$\Rightarrow\:\mathrm{cot}\:\alpha\:=\:\sqrt{\mathrm{2}}\: \\ $$

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