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Law of Sines, and Law of Cosine B

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Last updated 10 months ago
8 questions
Note from the author:
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
Law of Sines
1
1
1
1
Law of Cosines
1
1
1
1
Question 1
1.

(Level 1) Select all the scenarios for which you can use the Law of Sines

Question 2
2.

(Level 2) Given a triangle with the following properties, m∠C = 25°, m∠A = 35°, c = 9, solve for side a.

Question 3
3.

(Level 3) Given a triangle with the following properties, m∠C = 25°, m∠A = 35°, c = 9, solve for side b.

Question 4
4.

(Level 4) Given a triangle with the following properties, m∠C = 25°, m∠A = 35°, c = 9, solve for the area of the triangle knowing the formula \frac{1}{2}ab\sin(C)

Question 5
5.

(Level 1) Select all the scenarios for which you can use the Law of Cosines

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 = 30 in, z = 50 in what is m∠Y=

Question 8
8.

(Level 4) The figure shows a 500-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.