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.
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.
1 answer
1 answer