AnswersNC-Math 4 CRLaw of Cosines

Law of Cosines Answers

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A roofer sketches a diagram of a house on which he is working. Based on the diagram, about how wide is the house?

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A
28.5 ft.
B
37.4 ft.
C
42.9 ft.
D
56.2 ft.
2
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An archer fires two arrows into a raised target, as represented in the diagram below. About how much greater of an angle did the archer need to use in order for the second arrow to land 7 feet higher than the first arrow?

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A
1.0°
B
1.6°
C
6.0°
D
8.7°
3

Based on the diagram below, which expression can be used to determine the distance between Seattle, WA, and San Francisco, CA? [Not drawn to scale]

Question illustration
A
StartRoot 1858 squared plus 1737 squared minus 2 (1858) (1737) cosine 21 point 4 EndRoot
Option A
B
StartRoot 1858 squared plus 1737 squared plus 2 (1858) (1737) cosine 21 point 4 EndRoot
Option B
C
1858 plus 1737 minus 2 (1858) (1737) cosine 21 point 4
Option C
D
1858 plus 1737 plus 2 (1858) (1737) cosine 21.4
Option D
4

A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Approximately how far is the ship from where it began?

A
103.1 mi.
B
174.7 mi.
C
214.7 mi.
D
226.5 mi.

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