Question

Cálculos de trigonometria, URGENTE!

Answer 1

Explicação passo-a-passo:

8)

$\sf cos~45^{\circ}=\dfrac{cateto~adjacente}{hipotenusa}$

$\sf \dfrac{\sqrt{2}}{2}=\dfrac{x}{4}$

$\sf 2x=4\sqrt{2}$

$\sf x=\dfrac{4\sqrt{2}}{2}$

$\sf \red{x=2\sqrt{2}}$

9)

$\sf tg~30^{\circ}=\dfrac{cateto~oposto}{cateto~adjacente}$

$\sf \dfrac{\sqrt{3}}{3}=\dfrac{h}{15}$

$\sf 3h=15\sqrt{3}$

$\sf h=\dfrac{15\sqrt{3}}{3}$

$\sf \red{h=5\sqrt{3}}$

10)

$\sf sen~60^{\circ}=\dfrac{cateto~oposto}{hipotenusa}$

$\sf \dfrac{\sqrt{3}}{2}=\dfrac{12\sqrt{3}}{a}$

$\sf a\sqrt{3}=12\sqrt{3}\cdot2$

$\sf a\sqrt{3}=24\sqrt{3}$

$\sf a=\dfrac{24\sqrt{3}}{\sqrt{3}}$

$\sf \red{a=24}$