Final answer:
To find an unknown side in a triangle when given an angle and the hypotenuse, you can use the sine function. The unknown side 'a' can be calculated as 'a = b • sin(β)' where 'b' is the hypotenuse and β is the given angle.
Step-by-step explanation:
To find the indicated side of the triangle, we can use the trigonometric functions derived from the properties of a triangle. If we are given an angle and one side adjacent to the angle (known as the hypotenuse in a right triangle), we can use the sine function to find the unknown side. In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the hypotenuse.
For our specific case, if we know the angle β and the hypotenuse (labelled as b), and we need to find side a, we can write the following equation based on the sine function: a = b • sin(β). By plugging in the given values for β and b, we would be able to calculate the length of side a. In some cases, the Law of Sines or the Law of Cosines can be used if additional sides or angles are known.