Solve.
-A flagpole is supported by a wire fastened 27 feet from its base. The wire is 9 feet longer than the height it reaches on the flagpole. Find the length of the wire.
A) 32 ft
B) 45 ft
C) 51 ft
D) 36 ft

Question

Quizplus · Accepted Answer

Let the height the wire reaches on the flagpole be h feet. Then, the length of the wire is h + 9 feet. Using the Pythagorean theorem for the right triangle formed, we have: (h + 9)^2 = h^2 + 27^2. Solving this equation gives h = 36 feet, so the length of the wire is 36 + 9 = 45 feet.

Solve. -A Flagpole Is Supported by a Wire Fastened 27 Feet