Final answer:
To find the values of the other angles in the right triangle ABC, use the Pythagorean theorem to find the length of the hypotenuse and then use trigonometric functions to find the values of the angles.
Step-by-step explanation:
To find the values of the other angles in the right triangle ABC, we can use the properties of right triangles and trigonometric functions. Given that side a is 11 cm and side b is 5 cm, we can use the Pythagorean theorem to find the length of side c, which is the hypotenuse of the triangle. Using the formula c = √(a² + b²), we find that c is approximately 11.87 cm.
Next, we can use the sine, cosine, and tangent functions to find the values of the angles. We know that sin(angle) = opposite/hypotenuse, cos(angle) = adjacent/hypotenuse, and tan(angle) = opposite/adjacent. In this case, the opposite side is side a and the adjacent side is side b. By substituting the values into the formulas, we can find the values of the other angles.
Therefore, the other angles in the triangle are approximately 57.47 degrees and 12.53 degrees.
Learn more about Triangle angles