Question

Calcular x indicado na figura.

ajudinha por favor ^-^

Answer 1

Vamos utilizar uma variável auxiliar: y
$tg\ 30\º= \frac{\sqrt{3}}{3} \ \ \ tg\ 60\º= \sqrt{3}$
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$tg\ 60\º= \frac{x}{y}\\ \\ \sqrt{3} = \frac{x}{y} \\ \\ \sqrt{3}y=x$
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$tg \ 30\º= \frac{x}{100+y} \\ \\\frac{\sqrt{3}}{3}= \frac{x}{100+y} \\ \\100\sqrt{3}+\sqrt{3}y=3x\\ \\100\sqrt{3}+x=3x\\ \\3x-x=100\sqrt{3}\\ \\2x=100\sqrt{3}\\ \\x=\frac{100\sqrt{3}}{2}\\ \\x=50\sqrt{3}\\\\x=50\sqrt{3} \ m$