Answer: approximately 338.7
Step-by-step explanation: To find the distance from point A to point B, we can use trigonometry. Since we have the angles of depression and the vertical distance, we can use the tangent function.
Let's call the distance from point A to point B as "x". We can set up the following equation:
tan(27°) = (139 + x) / x
Now we can solve for x by rearranging the equation and isolating x:
x * tan(27°) = 139 + x
x * tan(27°) - x = 139
x * (tan(27°) - 1) = 139
x = 139 / (tan(27°) - 1)
Calculating this value, we find that the distance from point A to point B is approximately 338.7 feet (rounded to the nearest tenth of a foot).