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\noindent {\bf Problem statement} A surveyor stands on flat ground at
an unknown distance from a tall building. She measures the angle from
the horizontal ground to the top of the building; this angle is
${\pi}/3$. Next she paces 40 feet further away from the building. The
angle from the ground to the top of the building is now measured to be
${\pi}/4$.

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\noindent a) How tall is the building?

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\noindent b) If the surveyor moves 20 feet further away from the
building, what will be the angle from the horizontal ground to the top
of the building?

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