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1 answer:
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Answer:
9.14 inches.
Step-by-step explanation:
From the question,
Assuming the diagram attached, is similar to diagram required to support the question,
From the diagram,
Applying pythagoras theorem
a² = b²+c²...................... Equation 1
Where a = 13.4 in, b = x in, c = 9.8 in.
Substitute these values into equation 1
13.4² = x²+9.8²
x² = 13.4²-9.8²
x² = 179.56-96.04
x² = 83.52
x = √(83.52)
x = 9.14 inches
Hence the distance between the rods is 9.14 inches
Answer:
Part A)
Each diagonal is about 9.43 feet.
Part B)
In total, Wally needs about 736.02 feet of wood.
Step-by-step explanation:
Part A)
Since each vertical board has a width of 8 inches, for one section with 12 vertical boards, the total width will be 8(12) = 96 inches.
96 inches is the same as 96/12 = 8 feet.
We are also given that the horizontal pieces will be 5 feet apart.
To find the diagonal, we can use the Pythagorean Theorem. The 8 is the base and 5 is the height. Therefore:
Compute:
Taking the square root, we acquire:
So, each diagonal is about 9.43 feet.
Part B)
For each section, we have two horizontal pieces (each 8 feet) and one diagonal piece (each √89 feet).
Therefore, for one section, we will need a total of:
Then for 30 sections, we will need:
Approximate:
Wally will need about 736.02 feet of wood in total.