Question

Find the distance between $(a\cos {35}^o,0)$ and $(0,a\cos {55}^o)$.

Answer 1

$Distanceb/w\left(a\cos {35}^0\right)and\left(o,a\cos {55}^0\right)=\sqrt{\left(0-a\cos {35}^0+\right){\left(a\cos {55}^0-0\right)}^2}=\sqrt{a^2{\cos }^2{35}^0+a^2{\cos }^2{55}^0}=a\sqrt{{\cos }^2{35}^0+{\cos }^2\left({90}^0-{35}^0\right)}\left[\therefore {\sin }^2\theta +{\cos }^2\theta =1\right]=a\sqrt{{\cos }^2{35}^0+{\sin }^2{35}^0}\therefore a\times 1=\left(a\right)isrequireddistance.Ans.$