Draw the first right triangle, with "60°" as the angle, "h" as the height, and "x" as the base.

Draw the second right triangle. It will sort of be wrapped around the first. The height is still "h"; the new angle is "45°". The addition portion of the base is the thousand feet, so the total base for this new triangle is "x = 1000".

Now work with the tangent ratios of the two triangles. See if you can solve for x in terms of h (from the first tangent ratio) and plug this in for "x" (in the second tangent ratio). Then solve for the height "h".

Eliz.