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!
The purpose of setting up geometric problems is to practice and improve problem-solving skills, as well as to deepen understanding of geometric concepts and principles.
When setting up a geometric problem, it is important to carefully read and analyze the given information and identify the relevant geometric principles that can be applied to solve the problem. These principles may include properties of angles, triangles, circles, or other geometric shapes.
Some tips for setting up geometric problems include drawing accurate diagrams, labeling all given information and unknowns, and breaking down the problem into smaller, more manageable steps. It is also helpful to review and practice different problem-solving strategies, such as using the Pythagorean theorem or setting up proportions.
To check if your set-up for a geometric problem is correct, you can use a variety of methods such as solving the problem using different approaches, plugging in values to see if the equations hold true, or using online tools or calculators to verify your solution.
Some common mistakes to avoid when setting up geometric problems include misinterpreting the given information, using incorrect formulas or theorems, and making arithmetic errors. It is important to double-check your work and be mindful of units and accuracy when solving geometric problems.