Find angle of a triangle with given sides

  • Thread starter Thread starter fork
  • Start date Start date
  • Tags Tags
    Angle Triangle
AI Thread Summary
To find angle B in triangle ABC with sides AB=7, BC=8, and CA=9, the cosine rule is applied. The calculation involves using the formula cos B = (a² + c² - b²) / (2ac), where a, b, and c are the lengths of the sides. The result is approximately 73.4 degrees when rounded to three significant figures. A calculator is necessary to compute the cosine value accurately. Understanding the cosine rule is essential for solving triangle problems effectively.
fork
Messages
23
Reaction score
0
In a triangle ABC, AB=7, BC=8, CA=9, find angle B correct to 3 significant figures.
The answer is 73.4, but i don't know how to calculate it, thanks.
 
Physics news on Phys.org
Use the cosine rule.
 
U'll need a calculator to compute B,i.e.solve the equation

\cos B=value

and select the first 3 decimals the calculator shows u...

Daniel.
 
O, I forgot there is a rule called " cosine rule" in the world, thanks.
 
The world hath many rules, none of which you ought to ignore..:wink:
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top