Respuesta :

Answer:

[tex]=15\cdot \frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Z= 15*sqrt(3)/2


Tan(30) = y/b = 1/sqrt(3) (1)
Tan(60) = y/a = sqrt(3) (2)
(1)/(2) => a/b = 1/3 => 3a= b (3)
a + b = 15 (4)
From (3) and (4) => a = 15/4 , b = 45/4
Cos(30) = b/z => z = b/cos(30)
Z = 15*sqrt(3)/2