The height of telephone pole is 58.57 feet
Solution:
Given that, A telephone pole casts a shadow of 82 feet, and a 10 foot pole casts a shadow of 14 feet
To find: height of telephone pole
From given information,
Height of telephone pole = ?
Shadow of telephone pole = 82 feet
Height of pole = 10 feet
Shadow of pole = 14 feet
The telephone pole and its shadow and another pole and its shadow forms proportion
Therefore, we can say by proportion,
[tex]\frac{\text{Height of telephone pole}}{\text{Shadow of telephone pole}} = \frac{\text{Height of pole}}{\text{Shadow of pole }}[/tex]
Substituting the values we get,
[tex]\frac{\text{Height of telephone pole}}{82} = \frac{10}{14}\\\\\text{Height of telephone pole} = \frac{10}{14} \times 82\\\\\text{Height of telephone pole} = 58.57[/tex]
Thus height of telephone pole is 58.57 feet
