Question

Calcule H e X

Eu já fiz essa conta o resultado no meu deu 240 e no seno e no coseno deu 120 cada uma.

corrigi pra mim essa atividade galera fazendo favor​

Answer 1

Resposta:

tan60° = h/x

√3=h/x

h=x√3   (i)

tan30° =h/(x+120)

√3/3 =h/(x+120)    (ii)

(i)  em (ii)

√3/3 =(x√3)/(x+120)

1/3 =(x)/(x+120)

x+120=3x

2x=120

x=60

Usando (i)  ==> h=60√3

Answer 2

$\boxed{\begin{array}{l}\sf no\,\triangle BDC:\\\sf tg(60^\circ)=\dfrac{h}{x}\\\sf \sqrt{3}=\dfrac{h}{x}\\\\\sf h=x\sqrt{3}\\\sf no\,\triangle\,ADC:\\\sf tg(30^\circ)=\dfrac{ h}{x+120}\\\\\rm substitua\,h\,por\,x\sqrt{3}.\\\sf \dfrac{\sqrt{3}}{3}=\dfrac{x\sqrt{3}}{x+120}\\\\\tt "cancelando"\,\sqrt{3}\,nos\,dois\,membros\,temos:\\\sf\dfrac{\diagup\!\!\!\!\!\sqrt{3}}{3}=\dfrac{x\diagup\!\!\!\!\sqrt{3}}{x+120}\\\\\sf\dfrac{1}{3}=\dfrac{x}{x+120}\\\\\sf 3x=x+120\\\sf 3x-x=120\\\sf 2x=120\\\sf \end{array}}$

$\large\boxed{\begin{array}{l}\sf x=\dfrac{120}{2}\\\\\sf x=60\\\tt substitua\,x\,na\,equac_{\!\!,}\tilde ao\,de\,h.\\\sf h=x\sqrt{3}\\\sf h=60\sqrt{3}\end{array}}$