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Select the angle that correctly completes the law of cosines for this triangle

Select the angle that correctly completes the law of cosines for this triangle-example-1
User Diego V
by
5.3k points

2 Answers

4 votes

Answer:

c 28^o

Explanation:

User Andrei Roba
by
6.0k points
1 vote

Answer:

Final answer is C. 28°.

Explanation:

Given equation is
15^2+17^2-2\left(15\right)\left(17\right)\cos\left(\theta \right)=8^2.

Now we need to find the missing value of
\theta using cosine formula. So let's compare the given equation
15^2+17^2-2\left(15\right)\left(17\right)\cos\left(\theta \right)=8^2 with cosine formula
b^2+c^2-2\left(b\right)\left(c\right)\cos\left(A\right)=a^2.

we get
\theta =A

which is basically the angle between given sides 15 and 17

Hence A=28°.

So the final answer is 28°.

User KennyHo
by
5.7k points