Resposta:
a )
\begin{gathered}tg \: 30 {}^{o} = \frac{6}{x} \\ \\ \frac{ \sqrt{3} }{3} = \frac{6}{x} \\ \\ \sqrt{3} \times x = 6 \times 3 \\ \\ \sqrt{3} \times x = 9 \\ \\ x = \frac{9}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{9 \sqrt{3} }{ { (\sqrt{3} )}^{2} } = \frac{9 \sqrt{3} }{3} \\ \\ x = 3 \sqrt{3} \end{gathered}
tg30
o
=
x
6
3
3
=
x
6
3
×x=6×3
3
×x=9
x=
3
9
×
3
3
=
(
3
)
2
9
3
=
3
9
3
x=3
3
b ))
\begin{gathered}tg \: {45}^{o} = \frac{x}{10} \\ \\ 1 = \frac{x}{10} \\ \\ x = 10 \times 1 \\ \\ x = 10\end{gathered}
tg45
o
=
10
x
1=
10
x
x=10×1
x=10
