Question

em cada item calcule a medida de x​

Answer 1

Explicação passo-a-passo:

a)

$\sf cos~50^{\circ}=\dfrac{cateto~adjacente}{hipotenusa}$

$\sf 0,6427=\dfrac{x}{30}$

$\sf x=30\cdot0,6427$

$\sf \red{x=19,281~cm}$

b)

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

$\sf 0,866=\dfrac{15}{x}$

$\sf 0,866\cdot x=15$

$\sf x=\dfrac{15}{0,866}$

$\sf x=\dfrac{15000}{866}$

$\sf \red{x=17,321~cm}$

c)

$\sf tg~70^{\circ}=\dfrac{cateto~oposto}{cateto~adjacente}$

$\sf 2,7474=\dfrac{20}{x}$

$\sf 2,7474\cdot x=20$

$\sf x=\dfrac{20}{2,7474}$

$\sf x=\dfrac{200000}{27474}$

$\sf \red{x=7,279~cm}$