
To find: The height of the flagpole to the nearest inch.

Answer to Problem 50E
The height of the flagpole is 32 ft 4 inch.
Explanation of Solution
Given:
The length of each wire is 5 ft longer than the height of pole.
The distance between the wires fixed on the ground is equal to the length of one wire.
Calculation:
Let x be the height of flagpole.
Tabulate the given information algebraically.
In words | In Algebra |
Height of flagpole | x |
Length of wire | |
Distance between pole and a guy wire |
Table (1)
Model the equation for the above information as follows.
From the given data, there is an isosceles triangle appear here.
Use Pythagoras theorem to find the length of the flagpole as follows.
On further simplification,
Use
On further simplification,
The height of the pole cannot be negative.
So the height of the pole,
Thus, the height of the flagpole is 32 ft 4 inch.
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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