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What is the length of side c, given a = 10, b = 8, and c = 105°? round the answer to the nearest tenth?

User Marc Smith
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2 Answers

3 votes

Answer:

D) 14.3

Explanation:

got it right on edge :)

What is the length of side c, given a = 10, b = 8, and c = 105°? round the answer-example-1
User Argonus
by
8.3k points
2 votes
For this case, using the law of cosine we have:
c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (C)
Substituting values we have:
c ^ 2 = 10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105)
Clearing c we have:
c = root (10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105))
c = 14.33216827
round the answer to the nearest tenth:
c = 14.3
Answer:
the length of side c is:
c = 14.3
User Elliott Frisch
by
8.3k points

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