The missing length is approximately 6.82 ft (rounded to two decimal places).
To find the missing length in this problem, we can use the concept of slope.
The slope is a measure of how steep a line is. In this case, we are given two points on a line and need to find the missing length.
Let's consider the given information:
- One point has coordinates (X, 15 ft).
- Another point has coordinates (6 ft, X).
To find the slope, we use the formula: slope = (change in y)/(change in x).
In this case, the change in y is X - 15 ft, and the change in x is 6 ft - X.
So, the slope is (X - 15 ft)/(6 ft - X).
We are also given that the slope is 10 ft.
Therefore, we can set up the equation:
10 ft = (X - 15 ft)/(6 ft - X).
To solve this equation, we can cross multiply and simplify:
10 ft * (6 ft - X) = X - 15 ft.
Now, distribute the 10 ft:
60 ft - 10X = X - 15 ft.
Combine like terms:
11X = 75 ft.
Finally, divide both sides by 11:
X = 75 ft / 11.
Therefore, the missing length is approximately 6.82 ft (rounded to two decimal places).