Law of Sines, and Law of Cosine B

Last updated 8 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

Instructions

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

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

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

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

(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)

Law of Cosines

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

(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.

(Level 3) In ∆XYZ, m∠X = 138°, y = 30 in, z = 50 in what is m∠Y=

(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.