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 points
3
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.
2 points
2
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.
5 points
5
Question 3
3.
Find the measure of \angle{Z}
Round to the nearest tenth degree.
6 points
6
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.
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 points
5
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.
3 points
3
Question 6
6.
Show ALL necessary work in the box provided below. Round your answers to the nearest tenth.
3 points
3
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.
5 points
5
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.
4 points
4
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.
4 points
4
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.
4 points
4
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.