Question

Ache os valores de x

Answer 1

a) $\text{cos}~30^{\circ}=\dfrac{16}{x}$

$\dfrac{\sqrt{3}}{2}=\dfrac{16}{x}$

$x\cdot\sqrt{3}=2\cdot16$

$x\cdot\sqrt{3}=32$

$x=\dfrac{32}{\sqrt{3}}$

$x=\dfrac{32\sqrt{3}}{3}$

b) $\text{sen}~y=\dfrac{13}{26}$

$\text{sen}~y=\dfrac{1}{2}$

$y=30^{\circ}$

c) $\text{sen}~60^{\circ}=\dfrac{w}{18}$

$\dfrac{\sqrt{3}}{2}=\dfrac{w}{18}$

$2w=18\sqrt{3}$

$w=\dfrac{18\sqrt{3}}{2}$

$w=9\sqrt{3}$

d) $\text{cos}~45^{\circ}=\dfrac{20}{z}$

$\dfrac{\sqrt{2}}{2}=\dfrac{20}{z}$

$z\cdot\sqrt{2}=2\cdot20$

$z\cdot\sqrt{2}=40$

$z=\dfrac{40}{\sqrt{2}}$

$z=\dfrac{40\sqrt{2}}{2}$

$z=20\sqrt{2}$