Question

Calcule as medidas x,y,z e w indicadas nas figuras​

Answer 1

Resposta:

a) w = 50$\sqrt{3}$

b) y = $2\sqrt{57}$

   x = 6

   z =  $8\sqrt{3}$

Explicação passo-a-passo:

a)

sen 60° = w / 100

$\frac{\sqrt{3}}{2} = \frac{w}{100}$

w = 50$\sqrt{3}$

b)

sen 30° = 12 / x

1 / 2 = 12 / x

x = 6

cos 30° = 12 / z

z = 12 / ($\frac{\sqrt{3}}{2}$)

z = $8\sqrt{3}$

$y^{2} = x^{2} + z^2$

$y^{2}$ = 36 + 192

$y^{2}$ = 228

y = $2\sqrt{57}$