Answer:
The answer to the question is;
Then the apparent height of each pole if the tallest pole is 50 feet tall and there is 100 feet between each pole is [tex]\frac{50*x}{(x + 100*n)}[/tex] .
Step-by-step explanation:
To answer the question we have
Let the location of the closest pole = x
Let the height of the closest pole = h feet
Also let the actual height of the pole at location 100×n feet away be 50 feet
Where n = 1, 2, 3, ...∞
Then we have by taking tangent of the similar triangles so formed by the poles
Then h/x = 50/(x +100·n)
Therefore h = 50 × x/(x +100·n) = 50·x ÷(x + 100·n) = [tex]50 \frac{x}{(x + 100n)}[/tex] feet
The apparent height of each pole if the tallest pole is 50 feet tall and there is 100 feet between each pole is 50·x /(x+100·n) where n is the number of 100 feet further away the pole is e.g when n = 1 we have
h = 50·x /(x+100·1) = 50·x /(x+100)
