Law of Cosines Answers
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1
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Emilio assigns values to some of the measures of triangle MNP. If , which is true?
A
The triangle does not exist because cannot equal .
B
The triangle does not exist because the pattern within the given information is side-side-angle.C
There is one possible triangle because can be made equal to .
D
There is one possible triangle because the pattern within the given information is side-side-angle.2
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A sketch of Jessie’s neighborhood is shown below. Which equation can Jessie use to determine x, the distance from home to school?
A
StartFraction 6 over sine 110 EndFraction equal to StartFraction x over sine 50 EndFraction.
B
StartFraction x over sine 110 EndFraction equal to StartFraction 6 over sine 50 EndFraction.
C
StartFraction 6 over sine 110 EndFraction equal to StartFraction x over sine 20 EndFraction.
D
StartFraction x over sine 110 EndFraction equal to StartFraction 6 over sine 20 EndFraction.
3
What are the approximate values of the missing side lengths in the triangle below?
A
B C similar to 136 m, A B similar to 89 m.
B
B C similar to 89 m, A B similar to 136 m.
C
B C similar to 106 m, A B similar to 162 m.
D
B C similar to 162 m, A B similar to 106 m.
4
On a map, the North Carolina cities of Raleigh, Durham, and Chapel Hill form a triangle, as shown below. What are the approximate values of the missing measures on the map?
A
r similar to 23 degree, c similar to 55 degree, x similar to 10 mi.
B
r similar to 55 degree, c similar to 23 degree, x similar to 10 mi.
C
r similar to 21 degree, c similar to 57 degree, x similar to 22 mi.
D
r similar to 57 degree, c similar to 21 degree, x similar to 22 mi.
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