solution to electrical poles that carry electrical wire seem to get smaller the further away you are. Find the apparent height of each pole if the tallest pole is 50 feet tall and there is 100 feet between poles.
If the closest pole is at distance x, then the apparent height of the nth pole beyond is
given by using similar triangles:
h/x = 50/(x+100n)
so,
h = 50x/(x+100n)
21
I don't really understand this question.
Could anyone help me out here?
Please and thank you.
To find the apparent height of each pole, we need to consider the concept of perspective and how it affects the perception of size as objects are further away. The phenomenon you're describing is called "perspective foreshortening."
In this scenario, the apparent height of each pole decreases as the distance between the observer and the pole increases. To calculate the apparent height, we can use a proportion.
Let's first designate:
- h_actual: the actual height of the tallest pole (50 feet)
- h_apparent: the apparent height of each pole
Since the apparent height seems to decrease when the distance increases, we need to set up a proportion using the heights and distances involved. The proportion is as follows:
Actual height / Apparent height = Distance from observer / Total distance between poles
Using the given values:
h_actual / h_apparent = 100 feet / 100 feet
Simplifying the equation:
h_actual / h_apparent = 1
To solve for h_apparent, we can rearrange the equation:
h_apparent = h_actual / 1
Substituting the value of the actual height (h_actual = 50 feet):
h_apparent = 50 / 1
h_apparent = 50 feet
Therefore, the apparent height of each pole, regardless of the distance, remains the same at 50 feet.