The slope of the wooden beam is 39.8 ft
STEP - BY -STEP EXPLANATION
What to find?
The slope of the wooden beam.
Let y be the slope length.
To determine the slope length of the wooden beam we will follow the steps below.
Step 1
Write down the formula in calculating the sloping beam.
rise² + run² = slope length²
Step 2
Observe from the given diagram;
The value of the rise =12
The value of the run =76/2 = 38
Step 3
Substitute the values into the formula.
12²+ 38² = y²
Step 4
Simplify the above.
144 + 1444 = y²
1588 = y²
Step 5
Take the square root of both-side of the equation.
y = 39.8 ft
Therefore, the length of the sloping beam is 39.8 ft