Final answer:
The problem can be solved by using the Pythagorean theorem with the given information. Formulate the equation (d + 7)² + d² = 35², and solve for 'd', which represents the distance from the tower's base to the end of the wire.
Step-by-step explanation:
The problem given belongs to the category of Pythagorean theorem problems, as it essentially requests the calculation of the hypotenuse of a right triangle, with the wire corresponding to the hypotenuse.
From the problem, the wire is 35 feet long, representing the hypotenuse 'c'. The height of the tower is given as 'd + 7', where 'd' represents the distance from the tower's base to the end of the wire. We know that in a right triangle, the equation c² = a² + b² holds true. Given this information, we can create the equation: (d + 7)² + d² = 35².
Now, we simply solve this equation for 'd', which is our unknown variable. This should give the distance from the tower's base to the end of the wire. Remember to check your answer by plugging the value of 'd' back into the equation to ensure it equates properly.
Learn more about Pythagorean Theory