Because ABC = 90, ACB = 45, ADB = 30,
So AB=BC= 1/2AD,
Let the building height be h,
That is AB=BC=H,
AD=2H,
BD=BC+CD=H+60
From Pythagorean theorem, in △ABD, AB? +BD? =AD?
h? +(H+60)? =(2H)?
Solve this equation to get H=60/(√3- 1).