Geometry

Question Analysis

The main focus of this problem is to use trigonometric functions in a right - triangle ( with ) to find the length of side . Given the measure of and the length of the hypotenuse , we need to determine the length of the side opposite to .

Key Concept Explanation

In a right - triangle, the sine of an angle is defined as , the cosine as , and the tangent as . Here, to find the side opposite (i.e., ) with the hypotenuse known, we will use the sine function.

Step - by - Step Solution

1. Identify the relevant trigonometric function:

Since we know the hypotenuse and we want to find the side which is opposite to , we use the sine function. The formula is

Click "Show Answer" to reveal the answer and analysis