Question

A pole 10 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Suav measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.​

Answer 1

The pole length to the nearest wire should be 10x15

Answer 2

Answer:

• 42 feet

Step-by-step explanation:

Let the required distance is x and the height of the tower is t.

Use similar triangle ratios to find the value of t:

• t / 10 = (9 + 3) / 3
• t / 10 = 4
• t = 40 feet

Use Pythagorean to find the value of x:

• x² = 40² + (9 + 3)²
• x² = 1600 + 144
• x² = 1744
• x = √1744
• x = 42 feet (rounded)