Question Number 186697 by Mingma last updated on 08/Feb/23
Answered by mr W last updated on 08/Feb/23
$${DB}=\frac{\mathrm{8}\:\mathrm{sin}\:\mathrm{80}°}{\mathrm{sin}\:\mathrm{30}°} \\ $$$${x}=\frac{{DB}×\mathrm{sin}\:\mathrm{10}°}{\mathrm{sin}\:\mathrm{20}°} \\ $$$$\:\:=\frac{\mathrm{8}\:\mathrm{sin}\:\mathrm{80}°\:\mathrm{sin}\:\mathrm{10}°}{\mathrm{sin}\:\mathrm{30}°\:\mathrm{sin}\:\mathrm{20}°} \\ $$$$\:\:=\frac{\mathrm{8}\:\mathrm{cos}\:\mathrm{10}°\:\mathrm{sin}\:\mathrm{10}°}{\mathrm{sin}\:\mathrm{30}°\:\mathrm{sin}\:\mathrm{20}°} \\ $$$$\:\:=\frac{\mathrm{4}\:\mathrm{sin}\:\mathrm{20}°}{\mathrm{sin}\:\mathrm{30}°\:\mathrm{sin}\:\mathrm{20}°} \\ $$$$\:\:=\frac{\mathrm{4}}{\mathrm{sin}\:\mathrm{30}°} \\ $$$$\:\:=\mathrm{8} \\ $$
Answered by HeferH last updated on 08/Feb/23
Commented by HeferH last updated on 08/Feb/23
$${x}\:=\:\mathrm{8}\: \\ $$