Question

Alguém poderia mim ajudar nessas 2 ?

Answer 1

Lei dos Senos

Letra A
$\boxed { \frac{180}{sen60} = \frac{y}{sen90}}$
$\boxed {180*sen90=y*sen60}$
$\boxed {180*1=y*\frac{\sqrt{3}}{2}}$
$\boxed {180*2=y\sqrt{3}}$
$\boxed {360=y\sqrt{3}}$
$\boxed {y=\frac{360}{\sqrt{3}}}$
$\boxed {y=\frac{360}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}}$
$\boxed {y=\frac{360\sqrt{3}}{3}}$
$\boxed {\boxed {y = 120\sqrt{3}}}$

$\boxed {y^2 = 180^2 + x^2}$
$(120\sqrt{3})^2 = 180^2+x^2$
$43200=32400+x^2$
$x^2=43200-32400$
$x^2=10800$
$x= \sqrt{10800}$
$\boxed {\boxed {x=60\sqrt{3}}}$

Letra B
$\boxed { \frac{20}{sen30} = \frac{x}{sen90} }$
$20*sen90 = x*sen30$
$20*1= x*0,5$
$\boxed {x= \frac{20}{0,5} }$
$\boxed {\boxed {x=40}}$

$x^2=20^2+y^2$
$40^2=20^2+y^2$
$1600=400+y^2$
$y^2=1600-400$
$y^2=1200$
$y= \sqrt{1200}$
$\boxed {\boxed {y=20 \sqrt{3} }}$