Questions: A vertical tower 132.0 ft high is anchored to the ground by guy wires as shown in the figure. How long (in ft ) is each guy wire? (Round your answers using the rules for working with measurements.)

Solution Steps

• The vertical tower is 132.0 ft high.
• The horizontal distances from the base of the tower to the points where the guy wires are anchored are given.

• Guy wire A is anchored 100 ft from the base of the tower (25 ft + 50 ft + 25 ft).
• Use the Pythagorean theorem: \( A = \sqrt{(132.0)^2 + (100.0)^2} \).

• Guy wire B is anchored 75 ft from the base of the tower (25 ft + 50 ft).
• Use the Pythagorean theorem: \( B = \sqrt{(132.0)^2 + (75.0)^2} \).

Final Answer