Question

determine os valores de A e B.​

Answer 1

Resposta:

C) a=9 b=18

Explicação passo a passo:

determinar o valor de a vamos usar tg 30°=$\frac{\sqrt{3} }{3}$

$tg30=\frac{a}{9\sqrt{3} } \\\\\frac{\sqrt{3} }{3} =\frac{a}{9\sqrt{3} } \\\\3.a=\sqrt{3} .9\sqrt{3} \\3.a=9.\sqrt{9} \\3.a=9.3\\3.a=27\\a=\frac{27}{3} \\a=9$

determinar o valor de b vamos usar cosseno 30°= $\frac{\sqrt{3} }{2}$

$cos30=\frac{9\sqrt{3} }{b} \\\\\frac{\sqrt{3} }{2} =\frac{9\sqrt{3} }{b} \\\\\sqrt{3} .b=18\sqrt{3} \\\\b=\frac{18\sqrt{3} }{\sqrt{3} } \\\\b=\frac{18\sqrt{3} }{\sqrt{3} } .\frac{\sqrt{3} }{\sqrt{3} } \\\\b=\frac{18.3}{3} \\\\b=\frac{54}{3} \\\\b=18$