It appears that the uploaded file contains practice exam problems for trigonometry and geometry. Some of these questions involve evaluating trigonometric expressions, calculating areas and side lengths of triangles using the law of cosines and sines, and working with heights and angles in various real-life geometric scenarios.

How would you like to proceed? Would you prefer help with solving a specific problem, or an explanation of certain topics from the document?

Here are 5 example problems I could help with:

1. Evaluate the trigonometric expression $\sin 30^\circ \cdot \cos 60^\circ + \sin 60^\circ \cdot \cos 30^\circ$.
2. Find the area of a triangle given two sides and the included angle, like $\Delta ABC$ with $a = 4, c = 5, \angle B = 150^\circ$.
3. Calculate the side length of a triangle using the law of cosines.
4. Determine the value of $\cos\alpha$ if $\cot \alpha = 3$.
5. Solve real-life applications, such as finding the height of a tower given the angles of elevation from two points.

Tip: When solving problems involving angles and sides of triangles, it's helpful to remember the Law of Cosines for non-right triangles: $c^2 = a^2 + b^2 - 2ab \cdot \cos(C)$