Question 950719
Let's call the horizontal distance the plane covers relative to the ground observer in 2 minutes, X.
{{{tan(27)=H/X}}}
{{{H=Xtan(27)}}}
In another two minutes, the distance will increase to {{{2X}}}
So then,
{{{tan(theta)=H/2X}}}
Substituting,
{{{tan(theta)=(Xtan(27))/(2X)}}}
{{{tan(theta)=tan(27)/2}}}
{{{tan(theta)=0.25476}}}
{{{theta=14.3}}}{{{degrees}}}