Let x =
height of the tree.
When the
squirrel stops the first time, the distance to the ground
is 1/2 x.
When the squirrel stops the second time, the distance to
the ground is 1/2 of 1/2 x, which is 1/4 x.
When the squirrel stops the third time, the distance to
the ground is 1/2 of 1/4 x, which is 1/8 x.
When the squirrel stops the fourth time, the distance
to the ground is 1/2 of 1/8x, which is 1/16 x.
So, 1/16 x = 2. Multiply both sides of the
equation by 16,
16*(1/16 x)
= 16*2
x= 32 feet