
Concept explainers
The height of different poles if the tallest pole is 50 feet high and distance between two poles is 100 feet given.

Answer to Problem 10PPS
The heights of different poles, starting from first pole are 37.5 feet, 25 feet and 12.5 feet.
Explanation of Solution
Given information:
The height of tallest pole is 50 feet and its distance from a given point on ground is 400 feet and in between there are three more poles so that distance between two poles is 100 feet.
Concept used: As both
Calculation: As the distance of first pole from tallest pole, is 300 feet remaining, so using above proportion,
Or, height of the first pole from tallest pole
Again, the distance of second pole from tallest pole, is 200 feet remaining, so using above proportion,
Or,
And similarly, the distance of third pole from tallest pole, is 100 feet remaining, so using above proportion,
Or, height of the third pole from tallest pole
By above calculation, it is concluded that the heights of in between poles be 37.5 feet, 25 feet and 12.5 feet.
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