Final answer:Right triangles andtrigonometryinvolve studying the relationships between the sides and angles of a right triangle. The cosine and sine functions relate the length of the adjacent and opposite sides, respectively, to the hypotenuse. The Pythagorean theorem can be used to find the length of the hypotenuse, and the inverse tangent function can determine the direction or angle of a right triangle.Explanation:Right triangles and trigonometry involve the study of the relationships between the sides and angles of a right triangle. In a right triangle, the cosine function relates the length of the adjacent side to the hypotenuse (Ax/A = cos A), while the sine function relates the length of the opposite side to the hypotenuse (Ay/A = sin A). These relations can be used to solve for the scalar components of a right triangle.The sine, cosine, and tangent functions are defined in terms of the adjacent side, opposite side, and hypotenuse of a right triangle. For example, in Figure 5.17, x represents the adjacent side, y represents the opposite side, and h represents the hypotenuse.Intrigonometry, the Pythagorean theorem can be used to find the length of the hypotenuse given the lengths of the two legs of a right triangle. The Pythagorean theorem states that the square of the hypotenuse (A) is equal to the sum of the squares of the two legs (Ax and Ay). For example, if Ax is 9 blocks and Ay is 5 blocks, then A = sqrt(9^2 + 5^2) = 10.3 blocks. The direction can be determined using the inverse tangent function (tan^-1), which gives the angle between the opposite side and adjacent side.Learn more about Right triangles and trigonometry here:brainly.com/question/27659526#SPJ2...

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