Question

10 points Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth. 36 65° 41°

Answer 1

To find the length of the side labeled x, use the Law of Sines.

Step-by-step explanation:

To find the length of the side labeled x, we can use the Law of Sines. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. So, we can set up the equation:

sin(65°) / x = sin(41°) / 36

Cross-multiplying and solving for x, we get:

x = (36 * sin(65°)) / sin(41°)

Using a calculator, we can find that the value of x is approximately 46.3.