Vector Addition and Subtraction

Question 1

Use right triangle CDB to create a trigonometric ratio for sin C.

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/6129-01-12-10-11-task/mc001-2.jpg

Question 2

After solving the two sine equations for h, you get .

Revolt · Accepted Answer

h = c · sin A and h = a · sin C

Question 3

If all of the side lengths of a triangle had a length of 1, what would the simplified law of sines equation be?

Revolt · Accepted Answer

sin A = sin B = sin C

Question 4

Which of the following did you do? Check all of the boxes that apply.

Revolt · Accepted Answer

I substituted 1 for a, b, and c.; I flipped or cross-multiplied to remove the fractions.; I got sin A = sin B = sin C.

Question 5

What type of triangles did you have to construct to start the proof?

Revolt · Accepted Answer

right triangles

Question 6

Two trains leave a station on different tracks. The tracks make an angle of 115° with the station as a vertex. The first train travels 200 kilometers and makes its first stop in Pocomoc, while the second train travels 350 kilometers and makes it first stop in Easton. How far apart are the trains when both are at their first stop? Round the answer to the nearest tenth.

Revolt · Accepted Answer

470.8 km

Question 7

Just as you saw used to create an equation for c2, use to create an equation for a2. Solve this equation for h2.

Revolt · Accepted Answer

h2 = a2 - x2

Question 8

After starting with a non-right triangle, you had to construct the .

Revolt · Accepted Answer

altitude

Question 9

What does the common side length (h) in each of the sine equations represent in ?ABC?

Revolt · Accepted Answer

the altitude

Question 10

Replace your expression for h2 in c2=h2+b2-2bx+x2.

Revolt · Accepted Answer

C2 = a2 - x2 + b2 - 2bx + x2

Vector Addition and Subtraction Answers

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