Question

calcule a medida desconhecida x em cada um dos triângulos a seguir usando as identidades trigonometricas​

Answer 1

Resposta:

a) $16$

b) $7\sqrt{2}$

c) $10\sqrt{3}$

d) $12\sqrt{3}$

Explicação passo a passo:

a)

$sen30=\frac{8}{x}\\\\\frac{1}{2} =\frac{8}{x}\\\\x=16$

b)

$cos45=\frac{7}{x}\\\\\frac{\sqrt{2}}{2}=\frac{7}{x}\\\\\sqrt{2}x=14\\\\x=\frac{14}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}\\\\x=\frac{14\sqrt{2} }{2}\\\\x=7\sqrt{2}$

c)

$cos30=\frac{x}{20}\\\\\frac{\sqrt{3} }{2} =\frac{x}{20}\\\\2x=20\sqrt{3} \\\\x=\frac{20\sqrt{3} }{2}\\\\ x=10\sqrt{3}$

d)

$tg60=\frac{x}{12}\\\\\sqrt{3} =\frac{x}{12} \\\\x=12\sqrt{3}$