Log in
Sign up for FREE
arrow_back
Library

Alg 2 Unit 12a Test: Trigonometry

star
star
star
star
star
Last updated about 3 years ago
11 questions
Note from the author:
For this test, you will use the Sine Law and Cosine Law as shown below:


You may also need this one for Right Triangles.


(where \theta = represents and angle, and Opp, hyp and adj are sides.)
For this test, you will use the Sine Law and Cosine Law as shown below:


You may also need this one for Right Triangles.


(where \theta = represents and angle, and Opp, hyp and adj are sides.)
For Questions 1 to 4, SELECT 3 to find the missing side or angle. Round Your answers to the nearest tenth.
3
2
5
6
For questions 5 to 11 DO AT LEAST 4. Use the diagram to find the requested side or angle. Round your answer to the nearest tenth degree.
5
3
3
5
4
4
4
Question 1
1.

Using Law of Sines, find q. Show ALL necessary work in the box provided below. Round your answers to the nearest tenth.

Question 2
2.

Using Law of Cosines, find v. Show ALL necessary work in the box provided below. Round your answers to the nearest tenth.

Question 3
3.

Find the measure of \angle{Z}

Round to the nearest tenth degree.

Question 4
4.

Find all of the missing sides and angles for \Delta{FGH}, NOT \Delta{ABC}
Show ALL necessary work in the box provided below. Round your answers to the nearest tenth.

Question 5
5.

A bike race follows a triangular path, represented by \triangle{ABC}. If A is the starting point and the measure of the angle at point B is {70}\degree, what is the measure of the angle formed by path BC and path CA? Round to the nearest tenth degree.

Question 6
6.

Show ALL necessary work in the box provided below. Round your answers to the nearest tenth.

Question 7
7.

Given triangle MLK, KL = 8, KM = 7, and m∠K = 75°, find the length of the unknown side to the nearest tenth.

Question 8
8.

Given triangle ABC, m∠A = 36°, m∠B = 79°, and AC = 9, find the lengths of the unknown sides to the nearest tenth.

Question 9
9.

The head sail for Melissa's sailboat is a triangle with three sides having lengths 24 ft, 23 ft, and 12 ft. What is the measure of the sail's greatest angle? Round to the nearest whole degree.

Question 10
10.

In \triangle{PQR}, p=5, q=8, and r=9. What is the measure of \angle{P}? Round to the nearest tenth degree.

Question 11
11.

In \triangle{PQR}, p=14, q=6, and r=12. What is the measure of \angle{P}? Round to the nearest tenth degree.