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Question Number 186697 by Mingma last updated on 08/Feb/23

Answered by mr W last updated on 08/Feb/23

DB=((8 sin 80°)/(sin 30°)) x=((DB×sin 10°)/(sin 20°)) =((8 sin 80° sin 10°)/(sin 30° sin 20°)) =((8 cos 10° sin 10°)/(sin 30° sin 20°)) =((4 sin 20°)/(sin 30° sin 20°)) =(4/(sin 30°)) =8

$${DB}=\frac{\mathrm{8}\:\mathrm{sin}\:\mathrm{80}°}{\mathrm{sin}\:\mathrm{30}°} \\ $$$${x}=\frac{{DB}×\mathrm{sin}\:\mathrm{10}°}{\mathrm{sin}\:\mathrm{20}°} \\ $$$$\:\:=\frac{\mathrm{8}\:\mathrm{sin}\:\mathrm{80}°\:\mathrm{sin}\:\mathrm{10}°}{\mathrm{sin}\:\mathrm{30}°\:\mathrm{sin}\:\mathrm{20}°} \\ $$$$\:\:=\frac{\mathrm{8}\:\mathrm{cos}\:\mathrm{10}°\:\mathrm{sin}\:\mathrm{10}°}{\mathrm{sin}\:\mathrm{30}°\:\mathrm{sin}\:\mathrm{20}°} \\ $$$$\:\:=\frac{\mathrm{4}\:\mathrm{sin}\:\mathrm{20}°}{\mathrm{sin}\:\mathrm{30}°\:\mathrm{sin}\:\mathrm{20}°} \\ $$$$\:\:=\frac{\mathrm{4}}{\mathrm{sin}\:\mathrm{30}°} \\ $$$$\:\:=\mathrm{8} \\ $$

Answered by HeferH last updated on 08/Feb/23

Commented by HeferH last updated on 08/Feb/23

x = 8

$${x}\:=\:\mathrm{8}\: \\ $$

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