Question

Na figura a seguir, o valor de x é:

(a) 5√3
(b) 7
(c) 7√3
(d) 6

Answer 1

Explicação passo-a-passo:

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

$\sf \dfrac{\sqrt{3}}{3}=\dfrac{x}{7\sqrt{3}}$

$\sf 3x=7\sqrt{3}\cdot\sqrt{3}$

$\sf 3x=7\cdot3$

$\sf 3x=21$

$\sf x=\dfrac{21}{3}$

$\sf \red{x=7}$

Letra B

Answer 2

Resposta:

$\textsf{letra B}$

Explicação passo-a-passo:

$\sf tg\:\Theta = \dfrac{\textsf{cateto oposto}}{\textsf{cateto adjacente}}$

$\sf tg\:30\textdegree = \dfrac{x}{7\sqrt{3}}$

$\sf \dfrac{\sqrt{3}}{3} = \dfrac{x}{7\sqrt{3}}$

$\sf \dfrac{\sqrt{3}}{3} = \dfrac{\not7x\sqrt{3}}{\not49.3}$

$\sf \dfrac{\not\sqrt{3}}{\not3} = \dfrac{x\not\sqrt{3}}{7.\not 3}$

$\boxed{\boxed{\sf x = 7}}$