Question

law of cosines
evelyn watches airplanes take off at an airport. she is 200 meters away from where the planes take off from the runway. the initial angle at takeoff of a plane is 12°.
what is true when the plane is 100 meters away from takeoff? choose three correct answers.
the given information is the ssa case.
the given information is the sas case.
the angle of elevation of the plane is 12°. (diagram: triangle with 100m, 12°, 200m, evelyn, and airplane)

Explanation:

1. SSA Case Analysis: In triangle terms, we have two sides (200 m, 100 m) and a non - included angle (12°), which fits the SSA (Side - Side - Angle) case.
2. SAS Case Analysis: The SAS (Side - Angle - Side) case requires the angle to be included between the two sides. Here, the 12° angle is not between the 200 m and 100 m sides, so it is not SAS.
3. Angle of Elevation: The initial take - off angle of 12° is the angle of elevation when the plane is 100 m from take - off as per the problem's context.

Answer:

• The given information is the SSA case.
• The angle of elevation of the plane is \(12^{\circ}\).