Question

marla is setting up 2 poles for a volleyball net. marla needs 2 ropes to anchor each 7-foot pole, as shown in the diagram. diagram: 7 ft pole, 3.5 ft base marla plans to add 2 feet to the length of each rope so she has enough rope to tie knots. how much rope does marla need to anchor both poles?
a. 26.33 feet
b. 31.32 feet
c. 32.25 feet
d. 39.32 feet

Explanation:

Step1: Find length of one rope (without extra)

Using Pythagorean theorem: \( c = \sqrt{a^2 + b^2} \), where \( a = 7 \), \( b = 3.5 \).
\( c = \sqrt{7^2 + 3.5^2} = \sqrt{49 + 12.25} = \sqrt{61.25} \approx 7.826 \) ft.

Step2: Add 2 ft for knots per rope

Length per rope: \( 7.826 + 2 = 9.826 \) ft.

Step3: Ropes per pole and poles

Each pole needs 2 ropes, 2 poles: total ropes \( 2 \times 2 = 4 \).

Step4: Total rope length

Total: \( 9.826 \times 4 \approx 39.304 \approx 39.32 \) ft.

Answer:

D. 39.32 feet