Answer:
≈ 82 feet
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to calculate distance (d)
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Here the hypotenuse is the distance (d) between the 2 poles, hence
d² = 80² + 45² = 6400 + 2025 = 8425 ( take the square root of both sides )
d =
≈ 82 feet ( to the nearest foot )
For starters,

Consider the
th partial sum, denoted by
:

Multiply both sides by
:

Subtract
from this:

Solve for
:


Now as
, the exponential term will converge to 0, since
if
. This leaves us with
