Question

determine o valor de x nos casos abaixo​

Answer 1

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$\sf{\dfrac{x}{sen(120^\circ)}=\dfrac{100}{sen(45^\circ)}}\\\sf{x\cdot sen(45^\circ)=100\cdot sen(120^\circ)}\\\sf{x\cdot\dfrac{\sqrt{2}}{\diagup\!\!\!2}=100\cdot\dfrac{\sqrt{3}}{\diagup\!\!\!2}}\\\sf{x=\dfrac{100\sqrt{3}}{\sqrt{2}}}\\\sf{x=100\dfrac{\sqrt{3}}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}}\\\boxed{\boxed{\boxed{\boxed{\sf{x=\dfrac{100\sqrt{6}}{2}=50\sqrt{6}}}}}}$