Trigonometry Review Paper
Trigonometry, 8th ed; Lial, Hornsby, Schneider Trigonometry Final Exam Review: Chapters 7, 8, 9 Note:
Trig Final Exam Review F07 O’Brien
A portion of Exam 3 will cover Chapters 1 – 6, so be sure you rework problems from the first and second exams and from the Exam 1 and Exam 2 Reviews. Work these problems with no resources other than the departmental formula sheet and a graphing calculator. Your book, notebook, homework, solutions manual, etc. should be closed. Read and carefully follow all directions. Show all of your work on all problems. Anytime you are asked to perform a calculation manually or to give an exact answer, you may not use a calculator.
Directions:
Chapter 7: Applications of Trigonometry and Vectors 1. Determine the remaining sides and angles of the triangle ABC. Show all work and / or support your answer.
2.
Determine the remaining sides and angles of the triangle ABC. Show all work and / or support your answer. C = 71.83°, B = 42.57°, a = 2.614
3.
A ship is sailing due north. At a certain point the bearing of a lighthouse 12.5 km distant is N 38.8° E. Later on, the captain notices that the bearing of the lighthouse has become S 44.2° E. How far did the ship travel between the two observations of the lighthouse? Show all work and / or support your answer. Mark notices that the bearing of a tree on the opposite bank of a river flowing north is 115.45°. Lisa is on the same bank as Mark, but 428.3 m away. She notices that the bearing of the tree is 45.47°. The two banks are parallel. What is the distance across the river? Show all work and / or support your answer. Find the area of the triangle ABC. Show all work and / or support your answer. A = 30.50°, b = 13.00 cm, C = 112.60°
4.
5.
6.
A real estate agent wants to find the area of a triangular lot. A surveyor takes measurements and finds that two sides are 52.1 m and 21.3 m, and the angle between them is 42.2°. What is the area of the triangular lot? Show all
Trig Final Exam Review F07 O’Brien
A portion of Exam 3 will cover Chapters 1 – 6, so be sure you rework problems from the first and second exams and from the Exam 1 and Exam 2 Reviews. Work these problems with no resources other than the departmental formula sheet and a graphing calculator. Your book, notebook, homework, solutions manual, etc. should be closed. Read and carefully follow all directions. Show all of your work on all problems. Anytime you are asked to perform a calculation manually or to give an exact answer, you may not use a calculator.
Directions:
Chapter 7: Applications of Trigonometry and Vectors 1. Determine the remaining sides and angles of the triangle ABC. Show all work and / or support your answer.
2.
Determine the remaining sides and angles of the triangle ABC. Show all work and / or support your answer. C = 71.83°, B = 42.57°, a = 2.614
3.
A ship is sailing due north. At a certain point the bearing of a lighthouse 12.5 km distant is N 38.8° E. Later on, the captain notices that the bearing of the lighthouse has become S 44.2° E. How far did the ship travel between the two observations of the lighthouse? Show all work and / or support your answer. Mark notices that the bearing of a tree on the opposite bank of a river flowing north is 115.45°. Lisa is on the same bank as Mark, but 428.3 m away. She notices that the bearing of the tree is 45.47°. The two banks are parallel. What is the distance across the river? Show all work and / or support your answer. Find the area of the triangle ABC. Show all work and / or support your answer. A = 30.50°, b = 13.00 cm, C = 112.60°
4.
5.
6.
A real estate agent wants to find the area of a triangular lot. A surveyor takes measurements and finds that two sides are 52.1 m and 21.3 m, and the angle between them is 42.2°. What is the area of the triangular lot? Show all