The image shows a triangle labeled with points A, B, and D. The triangle appears to be a right triangle, with the right angle located at point B. This is indicated by the small square at point B, which is a common notation for a 90-degree angle. The triangle has three interior angles: 1. A 27-degree angle at point A. 2. A 70-degree angle at point D. 3. A 90-degree angle at point B (as it is a right triangle). The side opposite the right angle, which is the hypotenuse, is labeled with an "x" to indicate that it is the unknown length we might be trying to find. The side adjacent to the 70-degree angle at point D and opposite to the 27-degree angle at point A is given as 15 cm in length. To find the length of the hypotenuse (x), you can use trigonometric ratios. Since we have the length of the side adjacent to angle D and we want to find the hypotenuse, we can use the cosine of angle D: cos(D) = adjacent/hypotenusePlugging in the values we have: cos(70°) = 15 cm / xTo solve for x, you would rearrange the equation: x = 15 cm / cos(70°) You would then calculate the value using a calculator set to degree mode: x ≈ 15 cm / 0.34202 (cosine of 70 degrees) x ≈ 43.86 cmSo, the length of the hypotenuse (x) is approximately 43.86 cm.