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Question Number 168093 by leicianocosta last updated on 02/Apr/22

Answered by nurtani last updated on 03/Apr/22

sin 60° = (2/d)  (1/2)(√3) = (2/d)   (√3) d = 4⇒ d = (4/( (√3))) ∙ ((√3)/( (√3))) = (4/3)(√3) m (b)

$${sin}\:\mathrm{60}°\:=\:\frac{\mathrm{2}}{{d}} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\sqrt{\mathrm{3}}\:=\:\frac{\mathrm{2}}{{d}}\: \\ $$$$\sqrt{\mathrm{3}}\:{d}\:=\:\mathrm{4}\Rightarrow\:{d}\:=\:\frac{\mathrm{4}}{\:\sqrt{\mathrm{3}}}\:\centerdot\:\frac{\sqrt{\mathrm{3}}}{\:\sqrt{\mathrm{3}}}\:=\:\frac{\mathrm{4}}{\mathrm{3}}\sqrt{\mathrm{3}}\:{m}\:\left({b}\right) \\ $$

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