A viewer is looking up at a 70° angle to watch a plane fly towards an airport terminal. His distance from the plane is 2000m. Someone who is standing at the terminal can watch the plane by looking up at a 50° angle. To solve this problem, will you use Law of Sines or Law of Cosines? How far is the viewer from the terminal? You will select two answers.
To solve this problem, we will use the Law of Sines.
Let x be the distance from the viewer to the airport terminal. Using the sine function for each angle, we can set up the following equation:
sin(70°) = 2000 / x
sin(50°) = 2000 / (x + 2000)
By dividing the two equations, we can eliminate the variable x:
sin(70°) / sin(50°) = x / (x + 2000)
Solving for x, we get x ≈ 2434.14m
Therefore, the viewer is approximately 2434.14m from the terminal.