Solve the problem.
-A 30-foot pole is supported by two wires that extend from the top of the pole to points that are each 12 feet from the base of the pole. Find the total length of the two wires.
A) $$6 \sqrt { 29 } \mathrm { ~ft }$$
B)84 ft
C)2088 ft
D) $$12 \sqrt { 29 } \mathrm { ~ft }$$

Question

Quizplus · Accepted Answer

The length of each wire can be found using the Pythagorean theorem. The pole and its base form a right triangle with the wire as the hypotenuse. The height of the pole is 30 feet, and the distance from the base of the pole to where the wire is anchored is 12 feet. Thus, for each wire, the length $L$ can be calculated as $L = \sqrt{30^2 + 12^2} = \sqrt{900 + 144} = \sqrt{1044} = 12\sqrt{29}$ feet. Since there are two wires, the total length is $2 \times 12\sqrt{29} = 24\sqrt{29}$ feet. However, the options seem to reflect the length of a single wire, not both combined. The correct answer for the length of one wire, based on the options provided, is $12\sqrt{29}$ feet.

Solve the Problem 629 ft6 \sqrt { 29 } \mathrm { ~ft }629​ ft

Solve the Problem $6 \sqrt { 29 } \mathrm { ~ft }$