13. ANS: Label the right triangles and ABC DEF. In represents the angle of ABC, B inclination of the guy wire attached to the shorter building. In ABC, The angle of inclination of the guy wire attached to the shorter building is approximately 48.1°. In represents the angle of inclination of the guy wire attached to the taller building. DEF, E In DEF, The angle of inclination of the guy wire attached to the taller building is approximately 43.0°. The student is not correct. The angles of inclination are different. PTS: 0 DIF: Difficult REF: 6.1 Angles in Standard Position in Quadrant 1 LOC: 11.T2 TOP: Trigonometry KEY: Communication | Problem-Solving Skills 14. ANS: Determine the distance from the origin to P. r , Use: The reference angle, to the nearest degree, is: Since is positive and is negative, the terminal arm is in Quadrant 4, and is approximately .  x y PTS: 0 DIF: Moderate REF: 6.2 Angles in Standard Position in All Quadrants LOC: 11.T2 TOP: Trigonometry KEY: Procedural Knowledge | Communication 15. ANS: Possible solution: How does compare Description of possible Length of BC (cm) Value of with sin A? triangles 5 0.8333... No triangles are possible. 6 1 1 isosceles triangle 7 1.1666... 1 scalene triangle 5.9 0.9833... 2 scalene triangles PTS: 0 DIF: Moderate REF: 6.3 Constructing Triangles LOC: 11.T3 TOP: Trigonometry KEY: Conceptual Understanding | Problem-Solving Skills 16. ANS: The treasure chest could be between the two divers or on one side of both divers. Case 1: The treasure chest C is between the two divers, A and B.
13. ANS: Label the right triangles ABC and DEF. In ABC, B represents the angle of inclination of the guy wire attached to the shorter building. In ABC, The angle of inclination of the guy wire attached to the shorter building is approximately 48.1°. In DEF, E represents the angle of inclination of the guy wire attached to the taller building. In DEF, The angle of inclination of the guy wire attached to the taller building is approximately 43.0°. The student is not correct. The angles of inclination are different. PTS: 0 DIF: Difficult REF: 6.1 Angles in Standard Position in Quadrant 1 LOC: 11.T2 TOP: Trigonometry KEY: Communication | Problem-Solving Skills 14. ANS: Determine the distance r from the origin to P. , Use: The reference angle, to the nearest degree, is: Since x is positive and y is negative, the terminal arm is in Quadrant 4, and  is approximately . PTS: 0 DIF: Moderate REF: 6.2 Angles in Standard Position in All Quadrants LOC: 11.T2 TOP: Trigonometry KEY: Procedural Knowledge | Communication 15. ANS: Possible solution: Length of BC (cm) Value of How does compare with sin A? Description of possible triangles 5 0.8333... No triangles are possible. 6 1 1 isosceles triangle 7 1.1666... 1 scalene triangle 5.9 0.9833... 2 scalene triangles PTS: 0 DIF: Moderate REF: 6.3 Constructing Triangles LOC: 11.T3 TOP: Trigonometry KEY: Conceptual Understanding | Problem-Solving Skills 16. ANS: The treasure chest could be between the two divers or on one side of both divers. Case 1: The treasure chest C is between the two divers, A and B.
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