Question

Determine o valor de x:

Answer 1

a - Usa seno
$seno = \frac{cateto~oposto}{hipotenusa} \\ \\ sen~30^{o} = \frac{x}{10} \\ \\ \frac{1}{2} = \frac{x}{10} \\ \\ x = 5~cm$


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b - Usa tangente
$tangente = \frac{cateto ~oposto}{cateto~adjacente} \\ \\ tg~45^{o} = \frac{x}{12 \sqrt{2} } \\ \\ 1 = \frac{x}{12 \sqrt{2}} \\ \\ x = 12 \sqrt{2} ~cm$


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c - Usa cosseno
$cos = \frac{cateto~adjacente}{hipotenusa} \\ \\ cos~60^{o} = \frac{10 \sqrt{3} }{x} \\ \\ \frac{1}{2} = \frac{10 \sqrt{3} }{x} \\ \\ x = 20 \sqrt{3} ~cm$