Here is a trigonometry problem diagram featuring a right triangle. The given information includes one angle of 30° and the length of the opposite side as 5 units. The hypotenuse and adjacent side are unknown.

Problem:

1. Use the sine function to find the hypotenuse.

   • $\sin(30^\circ) = \frac{\text{opposite}}{\text{hypotenuse}}$

2. Use the cosine function to find the adjacent side.

   • $\cos(30^\circ) = \frac{\text{adjacent}}{\text{hypotenuse}}$

Would you like to work through the solution step by step? Let me know if you have questions or need clarification!

Related Questions:

1. How can you calculate the hypotenuse in this problem using sine?
2. What formula can you use to find the adjacent side in terms of cosine?
3. Why does $\sin(30^\circ)$ equal 0.5, and how does this help solve the problem?
4. How does knowing one angle help determine the entire triangle's dimensions?
5. Can you solve this triangle without using a calculator?

Tip:

Always check if angles and side lengths in a right triangle satisfy the Pythagorean theorem as a verification step!