Question

ajuda nessa ajudas
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Answer 1

(a)

$cos(30°) = \dfrac{16}{x} = > \dfrac{ \sqrt{3} }{2} = \dfrac{16}{x} = > \sqrt{3} x = 32 \\ = > x = \dfrac{32}{ \sqrt{3} } = > x = \dfrac{32}{ \sqrt{3} } \cdot\dfrac{ \sqrt{3} }{ \sqrt{3} } = > x = \dfrac{32 \sqrt{3} }{3}$

(b)

$sen(y) = \dfrac{13}{26} = > y = arcsen \begin{pmatrix}\dfrac{13}{26} \end{pmatrix} = > y = arcsen\begin{pmatrix}\dfrac{1}{2} \end{pmatrix} = > y = 30°$

(c)

$sen(60°) = \dfrac{w}{18} = > \dfrac{ \sqrt{3} }{2} = \dfrac{w}{18} = > 2w = 18 \sqrt{3} \\ = > w = \dfrac{18 \sqrt{3} }{2} = > w = 9 \sqrt{3}$

(d)

$cos(45°) = \dfrac{20}{z} = > \dfrac{ \sqrt{2} }{2} = \dfrac{20}{z} = > \sqrt{2} z = 40 \\ = > z = \dfrac{40}{ \sqrt{2} } = > z = \dfrac{40}{ \sqrt{2} } \cdot\dfrac{ \sqrt{2} }{ \sqrt{2} } = > z = \dfrac{40 \sqrt{2} }{2} \\ = > z = 20 \sqrt{2}$