Question

Dada a figura , sabemos que sen30° = cos60° = 1/2 e sen60° = cos30° = √3/2. Determine o valor de x e y

Answer 1

Lei dos senos no triangulo ABC :

AC/sen30 = AB/sen60

x/1/2 = 30/√3/2

x = 30/√3

x = 30√3/3 = 10√3

Lei dos senos no triangulo ACD :

x/sen60 = y/sen30

10√3/√3/2 = y/1/2

10√3/√3 = y

10 = y