Law of Cosines — Quiz Answers

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1
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Which equation can be used to solve for angle cap n in the triangle?

A
6 point 2 squared is equal to 3 point 6 squared plus 4 point 3 squared plus 2 3 point 6 4 point 3 cosine cap n
B
6 point 2 squared is equal to 3 point 6 squared plus 4 point 3 squared minus 3 point 6 times 4 point 3 times cosine times cap n
C
6 point 2 squared is equal to 3 point 6 squared plus 4 point 3 squared plus 3 point 6 times 4 point 3 times cosine times cap n
D
6 point 2 squared is equal to 3 point 6 squared plus 4 point 3 squared minus 2 3 point 6 4 point 3 cosine cap n
2
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What is the approximate length of the third side of the triangle?

A
35 point 5 mm
B
25 point 8 mm
C
22 point 2 mm
D
46 point 1 mm
7

A ship heads due north for x miles, then turns 25 degrees east of north and travels for another y miles. Which expression represents the distance the ship is from the original starting point?

A
x plus y minus square root of 2 x y cosine 155 degrees end root
B
square root of x squared plus y squared minus 2 x y cosine 25 degrees end root
C
square root of x squared plus y squared minus 2 x y cosine 155 degrees end root
D
x plus y minus square root of 2 x y cosine 25 degrees end root
8

What is the approximate measure of angle cap t in the triangle?

A
84 degrees
B
96 degrees
C
101 degrees
D
79 degrees
9

Which triangle can be solved using only the law of cosines?

A
Yuna’s triangle
B
Saki’s triangle
C
Anna’s triangle
D
Carly’s triangle
10

Which equation can be used to solve for x in the triangle?

A
x is equal to 4 point 7 plus 4 point 0 plus 2 4 point 7 4 point 0 cosine 41 degrees
B
x is equal to 4 point 7 plus 4 point 0 minus 2 4 point 7 4 point 0 cosine 41 degrees
C
x squared is equal to 4 point 7 squared plus 4 point 0 squared plus 2 4 point 7 4 point 0 cosine 41 degrees
D
x squared is equal to 4 point 7 squared plus 4 point 0 squared minus 2 4 point 7 4 point 0 cosine 41 degrees

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