
Concept explainers
To calculate:The height of pole when the shadow is 5 feet long. At the same time, the height of signpost is 4 feet and shadow is 114 feet long.

Answer to Problem 6.9.1EP
The height of poleis 16 feet.
Explanation of Solution
Given information:
Shadow of pole =5 feet
Height of signpost =4 feet
Shadow of signpost =114 feet =54 feet
Calculation:
Let the height of polebe h .
Height to Shadowfractionsare as follows:
Fraction of signpost =454=165
Fraction of pole =h5
Since, the height to shadow fractions are for the same time, comparing both the fractions−
165=h5
Solving the above equation, we have:
h=16
Thus, the height of poleis 16 feet.
Conclusion:
Height of poleis 16 feet.
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