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Category: Mensuration

Question-187827

Question Number 187827 by Rupesh123 last updated on 22/Feb/23 Answered by cortano12 last updated on 23/Feb/23 $$\left(\mathrm{1}\right)\mathrm{tan}\:\mathrm{30}°=\frac{\mathrm{4}}{\mathrm{a}}\Rightarrow\mathrm{a}=\mathrm{4}\sqrt{\mathrm{3}} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{tan}\:\mathrm{22},\mathrm{5}^{\mathrm{o}} \:=\frac{\mathrm{4}}{\mathrm{b}}\:;\:\mathrm{tan}\:\mathrm{45}°=\frac{\mathrm{2tan}\:\mathrm{22},\mathrm{5}^{\mathrm{o}} }{\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}} \mathrm{22},\mathrm{5}^{\mathrm{o}} } \\ $$$$\Rightarrow\mathrm{tan}\:^{\mathrm{2}}…

Question-187701

Question Number 187701 by Mingma last updated on 20/Feb/23 Answered by HeferH last updated on 20/Feb/23 $${let}\:“{h}''\:{be}\:{the}\:{height}\:{of}\:{the}\:{top}\:{triangle}\:{and}\:“{a}'' \\ $$$${the}\:{base} \\ $$$$\:\frac{\mathrm{7}{ah}}{\mathrm{2}}\:=\:\mathrm{28} \\ $$$$\:{ah}\:=\:\frac{\mathrm{28}\centerdot\mathrm{2}}{\mathrm{7}}\:=\:\mathrm{8}\: \\ $$$$\:{Total}\:{area}\:=\:\mathrm{4}{a}\centerdot\mathrm{4}{h}\centerdot\frac{\mathrm{1}}{\mathrm{2}}\:=\:\mathrm{8}{ah}\:=\:\mathrm{64}{u}^{\mathrm{2}}…