Question

Alguém pode dar uma ajudinha aqui?

Answer 1

$a)\;\tan(60^{\circ})=\dfrac{90}{x}\\\\ \sqrt{3}=\dfrac{90}{x}\\\\ x=\dfrac{90}{\sqrt{3}}\\\\ x=\dfrac{90}{\sqrt{3}}\times\dfrac{\sqrt{3}}{\sqrt{3}}\\\\ x=\dfrac{90\sqrt{3}}{3}\\\\ x=30\sqrt{3}$


$b)\;\sin(30^{\circ})=\dfrac{x}{100}\\\\ \dfrac{1}{2}=\dfrac{x}{100}\\\\ x=50$