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Law of Sines, and Law of Cosine

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Last updated 11 months ago
8 questions
Note from the author:
Law of Sines
1
1
1
1
Law of Cosines
1
1
1
1
Everyone must do level 1 for grading. You MUST select at least one extra level to obtain the respective grade
Level 1- D
Level 2- C
Level 3- B
Level 4- A
Everyone must do level 1 for grading. You MUST select at least one extra level to obtain the respective grade
Level 1- D
Level 2- C
Level 3- B
Level 4- A
Question 1
1.

Question 2
2.

(Level 2) Given a triangle with the following properties, m∠C = 13°, m∠A = 22°, c = 9, solve for side a.

Question 3
3.

(Level 3) Given a triangle with the following properties, m∠C = 13°, m∠A = 22°, c = 9, solve for side b.

Question 4
4.

(Level 4) Given a triangle with the following properties, m∠C = 13°, m∠A = 22°, c = 9, solve for the area of the triangle knowing the formula \frac{1}{2}ab\sin(C)

Question 5
5.

Question 6
6.

(Level 2) To find the distance across a protected cove at a lake, a surveyor makes the measurements shown in the figure. Use these measurements to find the distance from to the nearest yard.


Question 7
7.

(Level 3) In ∆XYZ, m∠X = 138°, y = 15 in, z = 25 in what is m∠Y=

Question 8
8.

(Level 4) The figure shows a 400-foot tower on the side of a hill is slanted and needs to be stabilized by wires extended to the base as shown in blue below. Find the total length of the blue wires as shown below.

(Level 1) Select all the scenarios for which you can use the Law of Sines
SAS
AAA
SSS
ASA
AAS
SSA
(Level 1) Select all the scenarios for which you can use the Law of Cosines
SSA
ASA
SAS
AAS
AAA
SSS