John M. answered • 04/06/20

Math Teacher/Tutor/Engineer - Your Home, Library, MainStreet or Online

Drawing a figure with the h=height of playhouse and x being the distance of where the 39° is measured, and x+10 where the 31° is measured from:

Tan 39 = h/x

Tan 31 = h/(x+10)

Solving shows x is 23.3 feet away yielding h = 23.3 feet.