# the law of sines/math

143,352 results

### Trig-Medians and law of cosines and sines

In triangle ABC, we have AB=3 and AC=4. Side BC and the median from A to BC have the same length. What is BC? Not making sense to me, I think the answer must be simple, but I don't know how to solve I applied the law of sines but to no avail. Help is appreciated, thanks.

### Trig

Should the triangle be solved beginning with Law of Sines of Law of Cosines. Then solve the triangle. Round to the nearest tenth. A=56 degrees, B=38 degrees, a=13. Sines. I get confused on the formula. I know C=86 degrees

### Math

1. use the law of Sines to solve (if possible) the triangle for the value of c. A=27.5degrees, a=15cm, b=36.4cm 2. use the law of Sines to solve (if possible) the triangle for the value of c. B=52degrees, a=8cm, b=12cm How do I solve these type of problems?

### Trig - Law of sines and cosines

ABC is an equilateral triangle with side length 4. M is the midpoint of BC, and AM is a diagonal of square ALMN. Find the area of the region common to both ABC and ALMN. I drew the diagram but I don't know how to find the answer? I think it has something to do with the law of ...

### Trigonometry/Geometry - Law of sines and cosines

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...

### math

solve each triangle using either the Law of Sines or the Law of Cosines. If no triangle exists, write “no solution.” Round your answers to the nearest tenth. A = 23°, B = 55°, b = 9 A = 18°, a = 25, b = 18

### Algebra 2

Using the information given about a triangle, which law must you use to solve the triangle? Law of Sines, Law of Cosines, or Neither. ASA SSS SAS AAA SSA AAS

### the law of sines/math

Find the area of each figure ??

### math

solve using law of sines or cosines A=?,B=51°,C=?,a=6m,b=?,c=7m

### trigonometry

okay so in my review packet under the "calculator" section it says law of sines and law of cosines. i don't know what that means. i wikipedia-ed it but i don't understand what they are saying. Please help!

### math,trigonometry

how do i state the law of sines and cosin in words ??

### math

solving using the law of sines or cosines. a=75°,B=?,C=?,a=18cm,b=9cm,c=?

### math - trig

Why cant we solve an oblique triangle with the Law of Sines if we are given SAS?

### math

list two congruence conditions for the law of sines yields a unique solution

### Math - Trig

Explain why we cannot solve an oblique triangle with the Law of Sines given SAS.

### Physics

i was woundering if you could point in the right direction i'm looking for very easy physics topics that makes use of the law of sines or the law of cosines Thanks

### Math

Use the Law of Sines to solve triangle ABC when a=1.43,b=4.21,and A=30.4 degrees. If no solution exists, rite none.

Find the indicated angle è. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 95 and c = 137(angle B=38). Round your answer to two decimal places.)

### Maths/Right Triangle

There must be a relationship (formula) between the lengths of the sides of a Right Triangle and the angles opposite these sides. Help Please. Mike. Look at the law os sines or cosines. Law of sines a/sin(A) = b/sin(B) = c/sin(C) Law of cosines a2 = b2 + c2 - 2bc cos(A) b2 = c2...

### law of cosines and sines

m<C=70,c=8,m<30 solve the triangle

### Pre-Calc Helppp!!!

Find the indicated angle è. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 110 and c = 136 (angle B=38) Round your answer to two decimal places.)

### geometry

I am studying for my GRE exam into grad school and it's been a very long time since I've done geometry. I have a problem to which I need to solve for the area of a triangle but I do not have the base. I do have all angles but I cannot remember how to convert angles into their ...

### Pre calculus

Why is it dangerous to use the law of sines to find an angle but is not dangerous to use the law of cosines? Please explain this thoroughly.

### Maths/Law of sines

I have a spherical triangle and I know 1 angle 31.3 degrees and all 3 sides which are 1624, 2118.4 and 1078.85 nautical miles. In order to find the other 2 angles I know I must use the law of sines: sin A over a = sin B over b = sin C over c If angle A is 31.3 degrees and side...

### precal 2

use law of sines to solve the triangle A=58 degree, a=4.5, b=12.8

### pre cal 2

use law of sines t solve the triangle A=5degree 40', B=8degree 15', b=4.8

### Calculus

Use the Law of sines to find the remaining sides. 1. a=40 degrees; Beta=87; c=115

### Trig

I was just wondering if anyone can explain the Law of Sines- "Ambiguity Case" to me, in a way that is easy to understand.

### maths

Choose three options which are true: a) an angle of 150 degrees is equivalent to 2pie/3 radians. b) Cos 0 = cos (0 – pie/2) for al values of 0. c) Sin 0 = cos (0 – pie/2) for all values of 0. d) If triangle ABC has a right angle at B, then sin A = cos C e) In any triangle ...

### Physics

For the Law of Sines state the formulas, explain them in your own words, and draw a diagram illustrating one of them.

### trig

Use the Law of Sines to solve each triangle. P=110 degrees p=125, r=200 in triangel PQR

### Trig

Should the triangle be solved beginning with Law of Sines of Law of Cosines. Then solve the triangle. Round to the nearest tenth. a=16, b=13, c=10. Cosines A=93 degrees, B=54 degrees, C=33 degrees

### Law of cosines

A tree on a hillside casts a shadow 215 ft down the hill. If the angle of inclination of the hillside is 22 degree to the horizontal and the angle of elevation of the sun is 52 degreess, find the height of the tree. TIA sorry this is law of sines. sorry for the confusion.

### Trig - check my answers plz!

1. (P -15/17, -8/17) is found on the unit circle. Find sinΘ and cosΘ Work: P= (-15/17, -8/17) cosΘ = a value P = (a,b) sinΘ = b value Answer: cosΘ = -15/17 sinΘ = -8/17 2. Should the triangle be solved beginning with Law of Sines or Law of Cosines...

### Calculus

Using Law of Sines: Need Help 1. alpha=70 Degrees Beta=38 Degrees a=35

### Trigonometry

Law of Sines sigma=27 deg 30' c= 52.8 a=28.1 Please show two solutions (beta1, beta2,...) due to acute and obtuse angles. Thank you so much for helping!

### Math

Hello! I need help with this question. I know that I'm using the Law of Sines, but I'm confused on how to solve. I have to also round my answers to the nearest tenth for degrees and to the nearest hundredth for sides. Thanks! Given: A = 60 degrees a = 9 c = 10 Find: b= C= B=

### Pre-calc Math

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is smaller than ∠B2.) a = 78, b = 109, ∠A = 24° Find : ∠...

### Math

How many triangles exist when the measure of angle B is 100 degrees, a =10 and b=5? a. none b. 1 triangle c. 2 triangles I have already solved this and I have found that there will be no triangle because by using the law of sines I found that the value is bigger than 1. So, I ...

### trigonometry

the bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base are 65 degree and 40 degree respectively find the two legs. Answer using law of sines pls

### Math

For problems 1 and 2, determine how many solutions there are for each triangle. You do not have to solve the triangle. 1. A = 29°, a = 13, c = 27 2. A = 100.1°, a = 20, b = 11 For problems 3-6, solve each triangle using the Law of Sines. If there is no solution, write “no ...

### pre calc

the longest side of a triangle is 34 feet. the measures of two angles of the triangle are 40 and 65 degrees. find the lengths of the other two sides using law of sines and cosines

### Algebra 2 with trigonometry

A baseball diamond is a square 90 feet on a side. The pitcher's mound is 60.5 feet from home. How far does the pitcher have to run to cover first? (we are using the LAW OF SINES AND COSINES)

### Precalc

Okay for this question I know I am supposed to use the law of sines. But how can i tell what side is what? In right triangle ABC, a = 120 and c = 140, and ÐC is the right angle. Solve the triangle. Round to the nearest tenth, if necessary.

### My Friend Needs Help With a Calc Problem.

how does five degrees east of north keep a plain going north when the wind pushes the plain four point six degrees west of north? This is not calculus. It is a vector problem. THe wind is pushing the plane west. If you need the solution, to find the direction of the wind, a ...

### Calculating distance(law of cosines)

Observers P and Q are located on the side of a hill that is inclined 32 degrees to the horizontal as shown(picture given). The observer at P determines the angle of elevation to a hot air balloon to be 62 degrees. At the same instant the observer at Q measures the angle of ...

### Math

A baseball diamond is a square sides 22.4 m. The pitcher's mound is 16.8 m from home plate on the line joining home plate and second base.. How far is the pitcher's mound from first base? (we are using the LAW OF SINES AND COSINES)

### Precal

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that A1 is smaller than A2.)

### Math (Pre-Calc)

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠A1 is smaller than ∠A2.) b = 74, c = 84, ∠B = 58...

### Geometry

Use the Law of Sines to find the missing angle of the triangle. Find m∠B given that c = 83, a = 44, and m∠A = 31. A. 76.3° B. 15.8° C. 72.7° D. 164.2° Need help on how I would go about doing this...step-by-step. Thank you!

### law of sines and cosine

a house is built on a triangle plot of land. two sides of the plot are 160 feet long and they meet at an angle of 85 degrees. if a fence is to be built around the property, how much fencing material is needed

### trigonometry

using the law of sines, solve the rest of the triangle: side C=14 side B=4 angle c=145 degrees i got angle b= 9.4 angle a=25.6 side A=10.4 but i didn't know if it was correct

### Math

The Leaning Tower of Pisa in Italy leans because it was built on unstable soil—a mixture of clay, sand, and water. The tower is approximately 58.36 meters tall from its foundation (see figure). The top of the tower leans about 5.45 meters off center. Use the Law of Sines to ...

### Pre calc

Vector A has magnitude 23 units and direction, counterclockwise from east, of 5.8 degrees. What is the value of its x component to 1 decimal place? Its y component? This problem seems easy enough but I keep getting the wrong answer using the law of sines. Is there another way ...

### Law of Sines

In Triangle ABC, a=15cm, c=9cm, and angle C= 35 degrees. Find b and angle b. (Recall sin theta= sin (180 degrees-theta). I'm not sure how to approach this.

### Math

I already know the angle of Eastdale which is 45° due to the turn from due east to the northwest. So therefore so I need to find the measures of angle c and angle n. I can use the Law of Sines. sin‹C/c=sin‹E/e sin‹C/18=(√2/2)/12.7308 sin‹C=18(√2/2)/12.708...

### geomery

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C, respectively, what can be said about the three ratios a/...

### geometry

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC? 2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B, and C, respectively, what can be said about the three ratios a/...

### Trigonometry

Find all the solutions of the following triangle using the Law of Sines. Angle A: 83°20' Angle C: 54.6° c: 18.1 How would I find I find angle B? I know that you would subtract angle A and C from 180, but I do not understand how to maintain the minutes (') on my calculator.

### Trigonometry

A ladder that is 15 feet long is placed so that it reaches from level ground to the top of a vertical wall that is 13 feet high A. Use the law of sines to find the angle that the ladder makes with the ground to the nearest hundredth B. Is more than one position of the ladder ...

### Math

A surveyor sets a stake and then walks 150 ft north, where she sets a second stake. She then walks 300 ft east and sets a third stake. How far from the first stake is the third stake? Round to the nearest tenth. All I know is you use law of sines and subtract 300 from 150

### Math

Express sin(x+y+z) in terms of cosines and sines of x, y and z

### Pre-Calc Helppp!!!

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that B1 is smaller than B2.) a = 39, c = 40, angle A = 36° angle B1 = ° ...

### Precalc

A tower is supported by a guy wire 610 ft long. If the wire makes an angle of 69 degrees with respect to the ground and the distance from the point where the wire is attached to the ground and the tower is 125 feet. a) State if the law of sines or cosines should be used for ...

### Math

Given; a=2.52, c=4.75 find the remaining parts of the right triangle. I found b which equals 4.03 but need help with the angle. We already know that one angle = 90 since its a right triangle. I just need to know angle A. Angle A = a)58 degrees b)32 degrees c)28 degrees d)62 ...

### Pre-Calculus

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is smaller than ∠B2.) a = 34, c = 43, ∠A = 39...

### Trig-Geometry - Law of sines and cosines

Hello everyone, I've been struggling on this problem for quite some time. It would be appreciated if you could help. Thanks. (The website is the diagram, it is a screenshot) In the diagram below, triangle ABC has been reflected over its median AM to produce triangle AB'C'. If ...

### MATH

H0W D0 U UNDERSTAND THE UNiT CiRCLE WiTH SiNES, COSiNE, COSECANT AND STUFF LiKE THAT?

### government

Which branch of the law regulates wrongful acts involving injury to one’s person, property, or reputation in a situation not covered by the terms of a contract? A. common law B. tort law C. civil law D. contract law

### government

Which branch of the law regulates wrongful acts involving injury to one's person, property, or reputation in a situation not covered by the term of a contract? A. common law B. tort law C. civil law D. contract law

### bus law

What is the chronological order of the major legislation that makes up the history of employment law in this country? For each law, state the social problem the law was designed to address, and discuss how employment law has affected the workplace in the last two decades.

### Science-Chemistry

1. What is Charles’s law? • State the definition of the law in words. • What are the assumptions of Charles’s law? • Write mathematical equations that represent the law. • What can you do with Charles’s law? • Using a gas-filled balloon as an example, describe ...

### Trigonometry

The Leaning Tower of Pisa in Italy leans because it was built on unstable soil—a mixture of clay, sand, and water. The tower is approximately 58.36 meters tall from its foundation (see figure). The top of the tower leans about 5.45 meters off center. Use the Law of Sines to ...

### math Law of Syllogism and Law of Detachment

What is the difference between Law of Detachment and The Law of Syllogism ? pLEASE provide an example of both thx.

### Government Law question

What kind of law is it when judges make the law by their decisions on the bench? ___ Law

### Law

Research and identify a labor law that is specific to your state. Share a brief summary of the law with us and discuss why you believe this law is or is not important to the employer-employee relationship.

### physics

A neon atom (m = 20.0 u) makes a perfectly elastic collision with another atom at rest. After the impact, the neon atom travels away at a 55.2° angle from its original direction and the unknown atom travels away at a 51.8° angle. What is the mass of the unknown atom? [Hint: ...

### PreCalc - Vectors

An airplane is flying with an airspeed of 660 Kilometers per hour. The wind is blowing from 345 degrees at 35 km/h. What direction should the airplane take so that, with the wind, the plane will be flying in a direction of 72 degrees? I can compute airspeed and actual ...

### Calculus

Oblique tracking. A ship leaves port traveling southwest at a rate of 12 mi/hr. at noon, the ship reaches its closest approach to a radar station, which is on the shor 1.5 miles from the port. if the ship maintains its speed and course, what is the rate of change of the ...

### Physics

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 65.0. Dog exerts a force of 256 and dog exerts a force of 344 . A) Find the magnitude of the resultant force. B) Find the angle the resultant force makes with dog 's rope. You can do this ...

### legal and ethical issues

select a current or proposed law that impacts the delivery of human services what reliable resources are availiable to learn about the implications of this law? What is the purpose or rationale of the law? How will the law effect da-t-day operations within human service ...

### science

An atom that has the same amount of atoms of each element on both sides of the reaction obeys what law? law of conservation of energy law of conservation of mass law of conservation of temperature law of conservation of atoms I know the Answer law of conservation of mass I ...

### Pre-Calc

This is the last question on my pre-calc homework, I looked through the textbook and have no idea how to do this. Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one ...

### math trigonometry

From on point on the ground the angle of elevation to the peak of a mountain is 10.38 degrees and from another pont 15,560 feet closer to the mountain, the anle of elevation is 14.67 degrees. Both point are due south of the mountain. What is the height of the mountain? My ...

### Civics

In the case The Senate Of Tennessee V. John Thomas Scopes, high school biology teacher John Scopes was accused of teaching content that violated a Tennessee law that stopped public school teachers from teaching evolution. Scopes voted this law , but felt his right to free ...

### Government

i think it is answer ( b ), can someone make sure What is the difference between criminal and civil law? a) There is no difference. b) The standard of guilt is higher in criminal law than it is in civil law c) The government is always involved in civil law but never in ...

### Chemisrty

Determine which law is appropriate for solving the following problem. What volume will 1.56 liters of a gas at 27°C and 745 mmHg of pressure occupy at 100°C and 700 mmHg of pressure? Law used: Boyle's Law Charles' Law Combined Gas Law

### Precalculus

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...

### bioethics

what is law natural law eternal law human positive law what is conscience different kinds of conscience pls need an answer thanks

### Law

Hi there! I have totally got to find out how the Aussie Law is similar to the US law. Anyway I DO like know that like Oz follows England law mainly but that isn't what I need. Bushells of Thanks Minnie

### Trigonometry/Geometry

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...

what is the chronological order of the major legislation that makes up the history of employment law in this country? for each law, state the social problem the law was designed to address and whether the law has solved the problem.

### Math

1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm? A. 58.2 cm2 B. 43.5 cm2 C. 38.4 cm2 D. 33.3 cm2 2. Given triangle ABC with β = 41°, g = 14°, and a = 5.0, find the value of c. A. 6.2 B. 4.0 C. 1.5 D. 17 3. Resolve the vector, v, with ...

### Trig.

I have answers for these problems, but I wanted to check if I had them right because I wasn't sure on some of them....Thanks. Solve the triangle: 1. a=4, b=8, alpha=30 deg. answer- beta=90 deg., gamma=60 deg., c=7 2. a=5, b=7, alpha=30 deg. answer- beta=44 deg., gamma=106 deg...

### government

The colonists built their governments based on customs and ideas borrowed from England and early civilizations, including unwritten, judge-made law developed over centuries. This type of law is known as a. constitutionalism b. common law.c. Hammurabi's Code. d. the rule of law

### physics

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 65.0ú. Dog " A" exerts a force of 256 N and dog " B " exerts a force of 344 N . I) Find the magnitude of the resultant force. ( Answered = 508 N ) II) Find the angle the resultant force ...

### bus/415

What is the chronological order of the major legislation that makes up the history of employment law in this country? For each law, state the social problem the law was designed to address, and discuss how employment law has affected the workplace in the last two decades.

### trig

How to prove the theorem of sines, using S=(a*b/2) * sin γ ?

### trig

Express sin4xcos3x as a sum or differences of sines and cosines