SOLUTION: a plane is flying parallel to the ground along vector AC. When the plane is at A, an air traffic controller in tower T measures the angle to the plane as 40 degrees. After the plan

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Question 1001663: a plane is flying parallel to the ground along vector AC. When the plane is at A, an air traffic controller in tower T measures the angle to the plane as 40 degrees. After the plane has travelled 2.4 miles to B, the angle to the plane is 80 degrees. how can you find BT?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
What does vector AC have to do with points A, B, T, and the angles measured?
The situation described in the problem is not clear to me.
I am assuming that the angles are angles of elevation, and A, B, And T are on the same vertical plane,
If that is so, then a sketch of the situation, and the solution look like this:

The two horizontal green lines are parallel,
and the two angles marked with green arcs are alternate interior angles,
so they are congruent, meaning that green%28x=40%5Eo%29 .
Also, for the angles at T, green%2840%5Eo%29%2Bred%28y%29=80%5Eo ---> red%28y%29=80%5Eo-green%2840%5Eo%29 ---> red%28y=40%5Eo%29 .
Triangle TAB has congruent angles measuring 40%5Eo at T and A,
so the sides opposite T and A are congruent,
meaning TB=AB=highlight%282.4miles%29