Use the law of cosines to find the values of x and y 1219y20o.to

The law of cosines say that cos C=a2+b2-c22ab. Here, in the given triangle x=12,y=19 and z=20.…

Answered: 19 12 to y° 20

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 59RE

See similar textbooks

Related questions

Question

Use the law of cosines to find the values of x and y

Expert Solution

Step 1

The law of cosines say that $\cos C = \frac{a^{2} + b^{2} - c^{2}}{2 a b}$ .

Here, in the given triangle $x = 12, y = 19 a n d z = 20$ .

Evaluate $x °$ as follows.

$\cos x ° = \frac{y^{2} + z^{2} - x^{2}}{2 y z} \cos x ° = \frac{19^{2} + 20^{2} - 12^{2}}{2 (19) (20)} \cos x ° = \frac{617}{760} \cos x ° = 0.811842105 x ° = \cos^{- 1} (0.811842105) x ° \approx 35.72 °$

Therefore, the value of $x °$ is $35.72 °$ .

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Law of Cosines$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage