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About Paul Klarreich
Expertise
I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience
I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

 
   

You are here:  Experts > Science > Mathematics > Advanced Math > plane trigonometry

Topic: Advanced Math



Expert: Paul Klarreich
Date: 5/6/2008
Subject: plane trigonometry

Question

10please help me again please please please thanks!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
use the method in art.23 to solve the triangle ABC,given that a=21.46 ft,b=46.28ft,and C=32° 28'30"
 ive attached an image of an example problem just like this but i cant figure out how to get the values of A, B, & C

can you check it for me ! this is my answer

please do check what ive done wrong

a=27

b=21

c=24

_________

2s=72

s=36

s-a=9

s-b=15

s-c=12



log(s-a)=0.95424

log(s-b)=1.17609

log(s-c)=1.07918

________________

      3.20951

log s=1.55630

_________________

    2)1.65321

___________________



 log r=0.82661





log r=0.82661

log(s-a)=0.9524

      ________



     A

log tan __ = 0.86625-10

     2



  A     r

tan----=  ---

  2    s-a

     =0.82661

      -------

      0.95424

     =0.86625







A=------this is i dont know how to get ive tried a lot pls give it to me thanks also the B and C



log r=0.82661

log (s-b)=1.17609

      B

log tan --- =0.70285-10

      2

B=



log r=0.82661

log(s-c)=1.07918

     C

log tan---=0.76596-10

 C=  

Answer
Questioner:   grace
Category:  Advanced Math
Private:  No
 
Subject:  plane trigonometry
Question:  


please help me again please please please thanks!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
use the method in art.23 to solve the triangle ABC,given that a=21.46 ft,b=46.28ft,and C=32° 28'30"
ve attached an image of an example problem just like this but i cant figure out how to get the values of A, B, & C
..........................................
Hi, Grace,

I'll try, but it really isn't fair for you to insist I figure a method that you are not sending me.
..................


can you check it for me ! this is my answer

please do check what ive done wrong

a=27

b=21

c=24
>> I'll assume these are the values and go on from there. [Not consistent with what you wrote.]


_________

2s=72  << write out here:  2s = a + b + c.

s=36  = the 'semiperimeter.'

s-a=9

s-b=15

s-c=12



log(s-a)=0.95424

log(s-b)=1.17609

log(s-c)=1.07918

________________

       3.20951  =  log[(s-a)(s-b)(s-c)] (looks about right)

log s = 1.55630

_________________

   2)1.65321  >> you subtracted, then divided by 2.  Do you have any idea WHY you did these things?

You should be writing:

log[ sqrt((s-a)(s-b)(s-c)/s) = that

___________________



log r=0.82661 << HUH?  Where did r come from?

>> Are you simply saying 'call this r = sqrt((s-a)(s-b)(s-c)/s) '

log r=0.82661

log(s-a)=0.9524

     ________



       A
log tan -- = 0.86625-10  << How did you get this number?  Say how.
       2

Sure you don't mean  -1?

   A     r
tan - =  ---
   2    s-a

    =0.82661
      -------
     0.95424

    =0.86625 minus 1?
...................................
At this point, I think what you mean is:

log[ sqrt((s-a)(s-b)(s-c)/s) = 0.82661
minus  log(s-a) =  - 0.95424


   sqrt[()()()]
log[---------------] = = - 0.13863
      s - a

And the rule must be [IT'S ABOUT TIME WE GOT TO THIS.]
    sqrt((s-a)(s-b)(s-c)/s     
log [-----------------------] = log tan (A/2)
         s - a

or, in ordinary mathematics:

sqrt((s-a)(s-b)(s-c)/s)
------------------------ = tan (A/2)
      s - a

sqrt((s-a)(s-b)(s-c)/s)
------------------------ = tan (B/2)
      s - b

sqrt((s-a)(s-b)(s-c)/s)
------------------------ = tan (C/2)
      s - c

Now I think it is time for you to THROW AWAY:

1. Your table of logarithms -- replace it with either a calculator or some skill in using Excel or another spreadsheet.
2. This 'cookbook' you are using -- replace it with a MATH book.

Now if you must, you can look up the formulas at:

www.tutorvista.com/content/math/trigonometry/trigonometry-math/solution-triangles.php

And use Excel!! Never mind what the book says.  Those tables of logs were obsolete before you (not I) were born!


A=------this is i dont know how to get ive tried a lot pls give it to me thanks also the B and C


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