You also need a good understanding of right triangles in order to analyze vectors quantities in general (of which there is no shortage in physics\". Suppose you have a right triangle like the one depicted below b where side a. is opposite angle A, side I: is opposite angle .3, and side c is opposite the right angle 0', which is 90". There are four primary relationships that are useful for solving the various parameters 0! such a right triangle, which are given by: Pythagorean Theorem: a + b' = c2 Definition of sine: sin A = , sin B = Definition of cosine: COS A = b 7) COS B = Definition of tangent: tan A = tan B = Which of these relationships you need to use depends on the specific parameter you are attempting to solve in a problem. When you know the length of two sides of a triangle but don't know the length of the third side, you should use the Pythagorean Theorem. When you know the length of one side of a triangle and the value of one angle (other than the right angle), you should use the corresponding trigonometric function. For example, if you knew the length of side c and the angle A, you could find the length of side a from the formula sin A = =. In general, apply the formula that includes the two parameters you know as well as the one you don't know and intend to solve. While we often think of right triangles as applying only to lengths, the rules listed above apply in general to any vector quantity, which can be depicted as having a magnitude (i.e. the hypotenuse of the triangle), and two components that are at right angles to one another and represent the other two sides of the triangle. Some examples include velocity (see Part C), force, and momentum.Your GPS shows that your friend's house is 10.0 km away, as shown in the image below. But there is a big hill between your houses and you don't want to bike there directly. You know your friend's street is 6.0 km north of your street. How far do you have to ride before turning north to get to your friend's house? Friend's house 10.0 km 6.0 km Your house Your street Friend's streetView Available Hint(s) VO AEd kmReferring to the diagram in Part A, what is the sine of the angle @ at the location of the friend's house? > View Available Hint(s) VO AEd ? sin d =