Question

Solve the triangle. Round to the nearest tenth. B = 81°, a = 4.7, c = 6.8 A = 37.55 C = 62 b = 7.6 Draw a triangle labeling angles A, B, and C, and their corresponding opposite sides a, b, and c. Using the Law of Cosines, which form solves for the measure of angle A? Use the inverse cosine function on the calculator to find angle A in degrees. Additional Materials eBook Law of Cosines

          Solve the triangle. Round to the nearest tenth.
B = 81°, a = 4.7, c = 6.8
A = 37.55
C = 62
b = 7.6
Draw a triangle labeling angles A, B, and C, and their corresponding opposite sides a, b, and c. Using the Law of Cosines, which form solves for the measure of angle A? Use the inverse cosine function on the calculator to find angle A in degrees.
Additional Materials
eBook
Law of Cosines
        
Show more…
Solve the triangle. Round to the nearest tenth.
B = 81°, a = 4.7, c = 6.8
A = 37.55
C = 62
b = 7.6
Draw a triangle labeling angles A, B, and C, and their corresponding opposite sides a, b, and c. Using the Law of Cosines, which form solves for the measure of angle A? Use the inverse cosine function on the calculator to find angle A in degrees.
Additional Materials
eBook
Law of Cosines

Added by Sebastian S.

Close

Introductory and Intermediate Algebra for College Students 4th
Introductory and Intermediate Algebra for College Students 4th
Robert Blitzer 4th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
I need help finding angle A and C!! Solve the triangle. Round to the nearest tenth: B = 81, a = 4.7, c = 6.8, A = 37.55°, C = 62°, b = 7.6. Draw a triangle labeling angles A, B, and C, and their corresponding opposite sides a, b, and c. Using the Law of Cosines, which formula solves for the measure of angle A? Use the inverse cosine function on the calculator to find angle A in degrees. Additional Materials: Book - Law of Cosines
Close icon
Play audio
Feedback
Powered by NumerAI
Kathleen Carty David Collins
Ivan Kochetkov verified

Rebecca Belvin and 89 other subject Algebra and Trigonometry educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
trig-5

Trig

Rebecca B.

solve-each-triangle-using-the-given-information-round-angle-measures-to-the-nearest-degree-and-sid-6

Solve each triangle using the given information. Round angle measures to the nearest degree and side measures to the nearest tenth. $$\triangle A B C: m \angle A=42, m \angle C=77, c=6$$

Geometry

Right Triangles and Trigonometry

The Law of Cosines

solve-the-triangle-abc-a-26-b37-c-5-6-find-the-unknown-angle-the-angle-opposite-side-c-round-to-the-nearest-tenth-as-needed-i-find-the-unknown-angle-b-the-angle-opposite-side-b-b-round-to-th-27584

Solve the triangle ABC. a = 2.6 b = 3.7 c = 5.6 Find the unknown angle C, the angle opposite side c. C = (Round to the nearest tenth as needed.) Find the unknown angle B, the angle opposite side b. B = (Round to the nearest tenth as needed.) Find the unknown angle A, the angle opposite side a. A = (Round to the nearest tenth as needed.)

Teresa F.


*

Recommended Textbooks

-
Introductory and Intermediate Algebra for College Students 4th

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition
achievement 1,132 solutions
Prealgebra

Prealgebra

Alan S. Tussy, R. David Gustafson, Diane R. Koenig 4th Edition
achievement 1,186 solutions
Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann, Joanne S. Lockwood 3rd Edition
achievement 1,609 solutions

*

Transcript

-
00:01 Okay for this problem we are giving we are given the measures of two angles of a triangle and one side and we're supposed to use the law of sines to solve it the first thing we've got two angles and we know that the three angles add up to 180 so if i will add 38 and 71 and then subtract it from 180 8 plus 1 is 9 and that's 109 and 180 minus 109 is 71 so b is also 71 degrees okay, make sure your calculator is in the degree mode because if it's in radians you're gonna miss this we're gonna set up and actually we can we can get by this is an isosceles triangle because we've got two angles the same.
01:06 All right, so we'll call that c and this b and a since you've got two angles the same these opposite sides are also congruent and this is you know across from angle b if you go out that side b and from angle c if you go out this is side c so this is side a if i know that b is 18 and this is an isosceles triangle i also know that c is 18 because b and c are the angles are congruent and that means the sides are also congruent so i'm gonna set up now.
01:51 We're gonna use the law of sines so i'm gonna say sine and it doesn't matter whether i'm doing b or c i'm gonna say sine of 71 over 18 so let's just say we're using c sine 71 over 18 equals sine, okay.
02:13 What side am i looking for? i'm looking for a so i'm gonna put angle a here and that's little a which is the side a cross multiply and you get sine 71 times a equals 18 times sine 38...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever