Calculating a Distance Observers at P and Q are located on the side
of a hill that is inclined 32° to the
horizontal, as shown. The observer
at P determines the angle of
elevation to a hot-air balloon to be
62º. At the same instant the
observer at Q measures the angle
of elevation to the balloon to be
71°. If P is 60 m down the hill
from Q, find the distance from Q
to the balloon.