Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to find positive tangent

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find Positive Tangent

Math2

For triangle $\DeltaABC$ $\Delta ABC$ , what is the cotangent of angle $\angle B$ ?

Possible Answers:

$\frac{d}{f}$

$\frac{d}{e}$

$\frac{f}{d}$

$\frac{f}{e}$

Correct answer:

$\frac{f}{d}$

Explanation:

The cotangent of the angle of a triangle is the adjacent side over the opposite side. The answer is $\frac{f}{d}$

Math2-p1

Report an Error

Example Question #21 : Tangent

What is the tangent of the angle formed between the origin and the point (-12,-5) if that angle is formed with one side of the angle beginning on the -axis and then rotating counter-clockwise to ? Round to the nearest hundredth.

Possible Answers:

0.42

-0.42

2.4

-2.4

0.38

Correct answer:

0.42

Explanation:

Recall that when you calculate a trigonometric function for an obtuse angle like this, you always use the -axis as your reference point for your angle. (Hence, it is called the "reference angle.")

Now, it is easiest to think of this like you are drawing a little triangle in the third quadrant of the Cartesian plane. It would look like:

Tan125

So, the tangent of an angle is:

$\frac{opposite}{adjacent}$ or, for your data, $\frac{5}{12}$ .

This is 0.41666666666667 . Rounding, this is 0.42 . Since (-12,-5) is in the third quadrant, your value must be positive, as the tangent function is positive in that quadrant.

Report an Error

Example Question #3 : How To Find Positive Tangent

What is the tangent of the angle formed between the origin and the point (-5,-16) if that angle is formed with one side of the angle beginning on the -axis and then rotating counter-clockwise to ? Round to the nearest hundredth.

Possible Answers:

-3.2

0.31

3.2

-0.31

5.14

Correct answer:

3.2

Explanation:

Recall that when you calculate a trigonometric function for an obtuse angle like this, you always use the -axis as your reference point for your angle. (Hence, it is called the "reference angle.")

Now, it is easiest to think of this like you are drawing a little triangle in the third quadrant of the Cartesian plane. It would look like:

Tan516

So, the tangent of an angle is:

$\frac{opposite}{adjacent}$ or, for your data, $\frac{16}{5}$ , or 3.2 . Since (-5,-16) is in the third quadrant, your value must be positive, as the tangent function is positive in this quadrant.

Report an Error

Example Question #4 : How To Find Positive Tangent

A ramp is being built at an angle of $30^{\circ}$ from the ground. It must cover horizontal feet. What is the length of the ramp? Round to the nearest hundredth of a foot.

Possible Answers:

$13.53\:ft$

$5.77\:ft$

$16.91\:ft$

$12.41\:ft$

$11.55\:ft$

Correct answer:

$11.55\:ft$

Explanation:

Based on our information, we can draw this little triangle:

Tan10

Since we know that the tangent of an angle is $\frac{opposite}{adjacent}$ , we can say:

$tan(30)=\frac{y}{10}$

This can be solved using your calculator:

y=10tan(30) or 5.77350269189626

Now, to solve for , use the Pythagorean Theorem, a^2+b^2=c^2 , where and are the legs of a triangle and is the triangle's hypotenuse. Here, c=r , so we can substitute that in and rearrange the equation to solve for :

$r=\sqrt{a^2+b^2}$

Substituting in the known values:

$r=\sqrt{10^2+5.77350269189626^2}$ , or approximately 11.54700538379252 . Rounding, this is 11.55 .

Report an Error

View ACT Math Tutors

Zachary
Certified Tutor

Yale University, Bachelor of Science, Biology, General.

View ACT Math Tutors

Mike
Certified Tutor

Concordia University-Ann Arbor, Master of Arts Teaching, Mathematics Teacher Education.

View ACT Math Tutors

Owen
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Biology, General.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

Spanish Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Miami, ACT Courses & Classes in Houston, ISEE Courses & Classes in Atlanta, SAT Courses & Classes in Miami, SAT Courses & Classes in Chicago, MCAT Courses & Classes in Atlanta, MCAT Courses & Classes in Denver, SAT Courses & Classes in Houston, SSAT Courses & Classes in Denver

Popular Test Prep

GMAT Test Prep in New York City, SAT Test Prep in Houston, GMAT Test Prep in San Diego, GRE Test Prep in Atlanta, ACT Test Prep in Philadelphia, ISEE Test Prep in Philadelphia, SSAT Test Prep in Denver, MCAT Test Prep in Miami, LSAT Test Prep in Chicago, MCAT Test Prep in Seattle

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

ACT Math : How to find positive tangent

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Find Positive Tangent

Example Question #21 : Tangent

Example Question #3 : How To Find Positive Tangent

Example Question #4 : How To Find Positive Tangent

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: