# trigonometry

posted by .

okay so i have this trigonometry problem were i HAVE to use logarithms.

Now this is my work but can u help me solve it using logarithms.

Find the area of the following triangles:(use logarithms)

1) c=426, A=45degrees 48' 36",and B=61degrees 2' 13"

• trigonometry -

C = 180 - A - B = 180 - 45° 48' 36" - 61° 2' 13" = 73° 9' 11"
Law of sines: a/sinA = c/sinC
a = c.(sinA/sinC) = 426.(sin(45° 48' 36"))/sin(73° 9' 11"))
a = 426*0.749186
a = 319.153

• trigonometry -

i don't know why its asking the url

• trigonometry -

anyways the area would be 312,918.8

• trigonometry -

The length of a is correct.

The area of the triangle would be
A=(1/2)a*c*sin(b)
=(1/2)*319.153*426*sin(61degrees 2' 13" )
=59477.5

• trigonometry -

i used cosin and got that answer .. I'm i wrong .

• trigonometry -

is there anyway i can use logarthims in this problem?

• trigonometry -

In the old days when there were no calculators, surveying calculations like this would require logarithms to do the multiplications.

There was a book about an inch and a half thick called "7-digit logarithm tables". We would look up sine(61° 2' 13" ) from the table, look up the logarithm of that from another table, then look up the logarithms of 426 and 319.153. These logarithms would have been added together and the anti-logarithm would be the answer: 59477.5.. to 7 digits.

This is the closest relation to logarithm I can think of.

If you want, I can simulate the process.

## Similar Questions

1. ### trigonometry

1. Finde the area of the following tringles: (use Logarithms) A) a=12.7, b=21.5, c=28.6. i'm not of the answer i got. i got 127.6 if you got something different can you show me how you did while using logarithms.
2. ### trigonometry (MathMate)

MathMate i would really appreciate if you can show me where the logarithms can be used.I know they are unnecessary and I already found the answer without them but i still have to show my work using logarithms and they just confuse …
3. ### Trigonometry (Logarthims)

Give checks to the following two questions Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" without logarithms i can do this problem easily and i have. but when i …
4. ### trigonometry

Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" Also Give checks. I know the use of logarithms is unnecessary but i have to show my solution by using logarithms …
5. ### trigonometry (repost) Mathmate

I want to start by saying thank you . You have no idea how much u have helped me understand logarithms, even better then the books i have (it poorly explains the subject of trigonometry let alone logarithms and antilog). Your last …
6. ### trigonometry

Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" I have to use logarithms and law of tangents . and then provide the check. which says law of sine or mollweids equation. …
7. ### kahyla

use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work Ln 8x 2. log2y^5
8. ### Logarithms

What's the fastest way to find Anti Logarithms(not using interpolation or a log table) can anyone give me an example using any kind of value?
9. ### Logarithms

What's the fastest way to find Anti Logarithms(not using interpolation or a log table) can anyone give me an example using any kind of value?
10. ### math

My teacher assigned us this problem: Using the following logarithms Log2,log3 and log10 solve for the log150,log 75 incorporating the properties of logarithms ,i tried ,but failed plz help!!

More Similar Questions