Question Number 175311 by rasheedmohammed last updated on 27/Aug/22
Commented by Rasheed.Sindhi last updated on 27/Aug/22
$$\mathcal{W}{rong}\:{question}. \\ $$
Answered by Rasheed.Sindhi last updated on 27/Aug/22
$${If}\:{a}\:{right}\:{triangle}\:{has}\:{one}\:{leg}\:{equal} \\ $$$${to}\:\mathrm{6}\:{and}\:{hypotenuse}\:\mathrm{10}: \\ $$$$\mathcal{T}{hen} \\ $$$$\:\mathrm{cos}{A}=\frac{\mathrm{6}}{\mathrm{10}}\:,\:\mathrm{sin}{B}=\frac{\mathrm{6}}{\mathrm{10}}\: \\ $$$${A}=\mathrm{cos}^{−\mathrm{1}} \left(\frac{\mathrm{3}}{\mathrm{5}}\right)\:,{B}=\mathrm{sin}^{−\mathrm{1}} \left(\frac{\mathrm{3}}{\mathrm{5}}\right) \\ $$$${A}\approx\mathrm{53}.\mathrm{13}\:,\:{B}\approx\mathrm{36}.\mathrm{87} \\ $$$${So}\:{neither}\:{of}\:{angles}\:{is}\:{equal}\:{to}\:\mathrm{60} \\ $$