MHB Could you help me set up these geometric problems?

  • Thread starter Thread starter xyz_1965
  • Start date Start date
  • Tags Tags
    Ac
AI Thread Summary
The discussion focuses on solving a right triangle problem involving triangle ABC, where angle C is 90 degrees, angle A is 60°, and side AB measures 12 cm. To find side AC, the cosine function is used: cos(60°) = AC/12, while for side BC, the sine function is applied: sin(60°) = BC/12. The participants confirm the correct identification of sides, with AB as the hypotenuse, AC as the adjacent side, and BC as the opposite side. There is encouragement for the questioner to gain confidence in solving similar problems independently. The request for a visual representation of the geometric figure indicates a desire for further assistance in understanding the concepts.
xyz_1965
Messages
73
Reaction score
0
Right triangle ABC is given with angles A, B, and C, where angle C is 90 degrees. Angle A is 60° and side AB = 12 cm. Find sides AC and BC.

Here is the set up.

To find AC:

cos (60°) = AC/12

To find BC:

sin (60°) = BC/12

Is this correct?
 
Mathematics news on Phys.org
Yes. With the usual notation, AB is the side opposite C, the right angle, so is the hypotenuse. Since you are given angle A, AC is the "near side" and BC is the "opposite side". cos(A) is "near side over hypotenuse" and sin(A) is "opposite side over hypotenuse".

Hopefully, you will soon have enough confidence in yourself that you won't need to ask questions like these!
 
Country Boy said:
Yes. With the usual notation, AB is the side opposite C, the right angle, so is the hypotenuse. Since you are given angle A, AC is the "near side" and BC is the "opposite side". cos(A) is "near side over hypotenuse" and sin(A) is "opposite side over hypotenuse".

Hopefully, you will soon have enough confidence in yourself that you won't need to ask questions like these!

I hope to get there soon. I found a few questions that I am stuck with in terms of a geometric figure. I will post each question later. I simply need help setting it up. If you can provide me with a picture, a visual of the situation, that would be so cool and helpful.
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top