The cosine ratio of the given right triangle's angle (∅) is 8/15. Here option B is correct.
In the provided image, the triangle is identified as a right triangle, indicating that one of its angles measures 90 degrees. The cosine function (cos) is a trigonometric ratio that relates the adjacent side to the hypotenuse in a right triangle. For the given triangle, the angle in question is represented by the symbol ∅.
The cosine function is defined as:
Cosine of θ = Adjacent side / Hypotenuse
In this case, the adjacent side is 8 units, and the hypotenuse is 15 units. Substituting these values into the formula:
Cosine of θ = 8 / 15
Therefore, the ratio of the adjacent side (8) to the hypotenuse (15) is 8/15. Consequently, the correct answer is option B: 8/15. This trigonometric relationship provides a fundamental understanding of the geometric properties of right triangles and is a crucial tool in solving various problems involving angles and sides in trigonometry. Here option B is correct.