Question on about, "Law of cosines"...I have tried it but confused. Any help would be appreciated. **Title:** Solving for Side Length Using the Law of Cosines**Objective:** Use the Law of Cosines to determine the indicated side $ x $. Assume $ b = 10 $ and $ c = 2 $. Round your answer to one decimal place.**Diagram Description:**- The triangle $ \triangle ABC $ is depicted with: - Angle $ A = 88^\circ $ - Side $ b $ opposite angle $ B $ labeled as $ b = 10 $ - Side $ c $ opposite angle $ C $ labeled as $ c = 2 $ - Side $ x $ opposite angle $ A $ which is the side to be determined.**Steps to Solve:**To find the length of side $ x $, apply the Law of Cosines:\[x^2 = b^2 + c^2 - 2bc \cdot \cos(A)\]Substitute the given values:\[x^2 = 10^2 + 2^2 - 2 \times 10 \times 2 \times \cos(88^\circ)\]Next, compute the cosine of $ 88^\circ $ and substitute the value to solve for $ x $.After calculating, remember to round the answer to one decimal place. **Conclusion:**This exercise illustrates the application of the Law of Cosines in solving triangles where the sides and angles interact based on known values of other sides and angles.

Law of cosine is x2=b2+c2-2bc cos APlugging the given values x2=102+22-2(10)(2) cos 88x2=104-40cos 88x=102.6040201x=10.12936425which is approxx=10.1Answer

Answered: Use the Law of Cosines to determine the…

Math

Calculus

Use the Law of Cosines to determine the indicated side x. (Assume b = 10 and c = 2. Round your answer to one decimal place.) X = C b. 88° A

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question on about, "Law of cosines"...

I have tried it but confused.

Any help would be appreciated.

**Title:** Solving for Side Length Using the Law of Cosines

**Objective:** Use the Law of Cosines to determine the indicated side $ x $. Assume $ b = 10 $ and $ c = 2 $. Round your answer to one decimal place.

**Diagram Description:**

- The triangle $ \triangle ABC $ is depicted with:
- Angle $ A = 88^\circ $
- Side $ b $ opposite angle $ B $ labeled as $ b = 10 $
- Side $ c $ opposite angle $ C $ labeled as $ c = 2 $
- Side $ x $ opposite angle $ A $ which is the side to be determined.

**Steps to Solve:**

To find the length of side $ x $, apply the Law of Cosines:

\[
x^2 = b^2 + c^2 - 2bc \cdot \cos(A)
\]

Substitute the given values:

\[
x^2 = 10^2 + 2^2 - 2 \times 10 \times 2 \times \cos(88^\circ)
\]

Next, compute the cosine of $ 88^\circ $ and substitute the value to solve for $ x $.

After calculating, remember to round the answer to one decimal place.

**Conclusion:**

This exercise illustrates the application of the Law of Cosines in solving triangles where the sides and angles interact based on known values of other sides and angles.

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