Questions: Find the measure of x. Round to the nearest hundredth.

Transcript text: Find the measure of $x$. Round to the nearest hundredth.

Solution

Solution Steps

Step 1: Identify the given values

We are given a right triangle with a hypotenuse of 26 units and an angle of 78°. We need to find the length of the side adjacent to the given angle, which is represented by 'x'.

Step 2: Use the cosine function

In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. So, we can use the cosine function to find 'x'. cos(78°) = x / 26

Step 3: Solve for x

Multiply both sides of the equation by 26: x = 26 * cos(78°) x ≈ 26 * 0.2079 x ≈ 5.4054