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., c=10
3. a=3, b=8, alpha=30 deg.
and this one I am doing something completely wrong because I cant find out the first answer...so I do not have an answer for it yet
4. alpha=53 deg., gamma=105 deg., b=42
answer- beta=22 deg., a=108, c=90
5. alpha= 65 deg., b=103, c=53
answer- a=155, gamma=25 deg., beta=90 deg.
6. a=43, b=48, c=53
answer- gamma=71 deg., alpha=50 deg., beta=59 deg.


this isn't a homework problem but something he told us about and I would like to know...how does the law of cosines relate to the Pythagorean theorem? if anyone knows that.

1. Is not quite right. It is true than beta = 90 degrees (from the law of sines), and that makes gamma = 180-30-90 = 60 degrees. However, the next step is
c/sin 60 = b/sin beta = 8
c = 8 sin 60 = 6.928..
You have the formulas right, but don't round off the side lengths to whole numbers.

As for your last question, the law of cosines reduces to the Pythagorean theorem when c is the hypotenuse and gamma equals 90 degrees

c^2 = a^2 + b^2 - 2 ab cos 90
= a^2 + b^2

  1. 👍 0
  2. 👎 0
  3. 👁 88
asked by ashley

Respond to this Question

First Name

Your Response

Similar Questions

  1. English

    Now, let's check how well you can use the expressions you've learned. I will distribute handouts. You have to solve the problems. Are you finished? Then, I'll check the answers. Look at the answers on the blackboard. Check your

    asked by rfvv on May 27, 2012
  2. English

    Formative Test Now, let's check how well you can use the expressions you've learned. I will distribute handouts. You have to solve the problems. You will have 5 minutes. Are you finished? Then, I'll write down the answers. Look at

    asked by rfvv on October 19, 2014
  3. 5th grade Math

    Having problems with less than/greater than decimals. Wanted to double check some answers. a)0.5_1.0 My Answer is < b)3.2_3.02 My answer > c)4.83_4.8 My answer < d)6.25_6.4 My answer < e)0.7_0.07 My Answer >

    asked by SK on August 25, 2010
  4. Algebra

    Can someone check my algebra answers and help me with the problems I don't understand? 1. n^2-n-20/2n^2 times n^2+5n/n^2-25 answer: n+4/2n 2. (2x-6/21)/(5x-15/12) answer: 8/35 3. 5x-3/6 - x+3/6 answer: 2x/3-1 4. 5x/26 - 2x/13

    asked by Alexandria on June 24, 2007
  5. History

    In what region of the US were most of the nation's cities located in the 1850s? North** South East West  Which of the following is a reason Southern states seceded from the Union? They wanted to support the Union. They wanted to

    asked by Anonymous on March 23, 2018
  6. Algebra II

    Solve x^4 - 12x - 5 = 0 given that -1 + 2i is a root. I’ve used synthetic division to get the answers x = 1 +/- 2i , 1 +/- sqrt 2 I’ve having trouble checking the answers though because of that imaginary number. How can I

    asked by Nick on December 13, 2007
  7. Math

    CAN SOMEONE CHECK MY ANSWERS PLEASE? What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. *** Use the words 'same'

    asked by Sam on September 11, 2014
  8. Easy (yet confusing) Algebra

    These problems are pretty easy, but confusing (as stated in the subject line). |2x+5|-x=10 |3x+4|-2x=11 I know there are supposed to be two answers for each problem, for the first problem I got 5 and for the second problem I got

    asked by Emily on April 11, 2007
  9. English

    1. Why do you not like becoming a journalist? Because I want to become an office worker. 2. Why don't you not like becoming a journalist? Because I want to become an office worker. (Are both questions the same? Are the answers

    asked by rfvv on March 27, 2010
  10. 7th grade math check

    Ok I was wondering if you could check these 3 problems please. I am suppose to set these equations equal but I am not sure if did them right. I think I accidently solved these systems as substitutions. The answers are suppose to

    asked by saranghae12 on April 12, 2012
  11. Please check-Reiny

    Could you check these two problems? 3sqrt (y+2) = 3 is y = 25 Answers were: true or false I said true because I did it like this Square both sides=y + 2 = 3^3 y+2 = 27 y = 25 and sqrt (2y-6) = 3-y for y answes are: no solution 5

    asked by Michelle on October 12, 2010

More Similar Questions