Answer: L = 36 feet approximately
The more accurate value is 35.9547644 feet, but this approximate value isn't exact either.
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Explanation:
Ignore the vertical line and any byproducts of it.
Refer to the diagram below. Note that the 95 degree angle is from 15+80 = 95.
We can use the law of sines like so
sin(A)/a = sin(B)/b
sin(75)/200 = sin(10)/L
L*sin(75) = 200*sin(10)
L = 200*sin(10)/sin(75)
L = 35.9547644 which is approximate.
This rounds to roughly 36 feet when rounding to the nearest whole number.
Side note: We never use angle C = 95, and its opposite side.
