Applying the law of sines to solve a word problem

The video tutorial explains how to find the distance between a dock and a gazebo using geometry and trigonometry. It covers the setup of the problem, understanding angles and bearings, and the application of the law of sines. The tutorial also discusses parallel lines, transversals, and angle relationships, leading to the final solution of the problem.

What is the missing angle if the total angle is 74 degrees and one part is 28 degrees?

• 46 degrees

• 52 degrees

• 28 degrees

• 74 degrees

Which of the following is true about alternate interior angles when a transversal intersects parallel lines?

• They are unrelated.

• They are complementary.

• They are equal to each other.

• They are supplementary.

What is the angle formed by the alternate interior angles in the problem?

• 28 degrees

• 46 degrees

• 69 degrees

• 41 degrees

Which formula is used to find the unknown distance in this problem?

• Trigonometric Ratios

• Law of Cosines

• Pythagorean Theorem

• Law of Sines

What is the calculated distance from the gazebo to the dock?

• 46 meters

• 69 meters

• 100 meters

• 77.05 meters