Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math II : Finding Angles with Trigonometry

Study concepts, example questions & explanations for SAT II Math II

Create An Account

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Finding Angles With Trigonometry

In $\bigtriangleup ABC$ :

AB = 23

AC = 34

BC = 25

Evaluate $m \angle A$ to the nearest degree.

Possible Answers:

$63^{\circ }$

$43^{\circ }$

$27^{\circ }$

$47^{\circ }$

$90^{\circ }$

Correct answer:

$47^{\circ }$

Explanation:

The figure referenced is below:

Triangle z

By the Law of Cosines, the relationship of the measure of an angle $\gamma$ of a triangle and the three side lengths , , and , the sidelength opposite the aforementioned angle, is as follows:

$c^{2} = a ^{2} + b^{2} - 2ab \cos \gamma$

All three side lengths are known, so we are solving for $\gamma$ . Setting

c = BC = 25 , the length of the side opposite the unknown angle;

a = AB = 23 ;

b = AC = 34 ;

and $\gamma = \cos A$ ,

We get the equation

$25^{2} =23^{2} +34^{2} - 2 (23) (34)\cos A$

$625 =529+1,156- 1,564 \cos A$

$625 =1,685 - 1,564 \cos A$

Solving for $\cos A$ :

$625 - 1,685 =1,685 - 1,564 \cos A - 1,685$

$-1.060 = - 1,564 \cos A$

$\frac{-1.060 }{- 1,564}= \frac{- 1,564 \cos A}{- 1,564}$

$\cos A \approx 0.6777$

Taking the inverse cosine:

$A = \cos ^{-1} 0.6777 \approx 47 ^{\circ }$ ,

the correct response.

Report an Error

View SAT Subject Test in Mathematics Level 2 Tutors

Shakeel
Certified Tutor

View SAT Subject Test in Mathematics Level 2 Tutors

Chase
Certified Tutor

Western Governors University, Bachelor of Science, Mathematics.

View SAT Subject Test in Mathematics Level 2 Tutors

Barry
Certified Tutor

CUNY Lehman College, Bachelors, Math. CUNY Lehman College, Masters, Math Education.

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Atlanta, Reading Tutors in San Diego, ACT Tutors in Boston, Algebra Tutors in San Diego, GRE Tutors in New York City, Math Tutors in Philadelphia, ACT Tutors in Dallas Fort Worth, Reading Tutors in Chicago, MCAT Tutors in Los Angeles, Algebra Tutors in Los Angeles

Popular Courses & Classes

GRE Courses & Classes in Boston, Spanish Courses & Classes in Phoenix, LSAT Courses & Classes in Philadelphia, GMAT Courses & Classes in New York City, Spanish Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Phoenix, ACT Courses & Classes in Phoenix, ACT Courses & Classes in Seattle, GRE Courses & Classes in Philadelphia, SSAT Courses & Classes in Phoenix

Popular Test Prep

SAT Test Prep in New York City, ACT Test Prep in Phoenix, MCAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Seattle, GMAT Test Prep in Miami, ACT Test Prep in Washington DC, ACT Test Prep in Philadelphia, MCAT Test Prep in Philadelphia, GMAT Test Prep in New York City, MCAT Test Prep in Denver

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

SAT II Math II : Finding Angles with Trigonometry

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #1 : Finding Angles With Trigonometry

All SAT II Math II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: