Master Solving word problems using the law of sines and angle relationships

The video tutorial explains how to solve word problems using trigonometry, specifically focusing on the law of sines and bearings. It provides two examples: one involving ranger stations and a fire, and another involving stations and a fire with different bearings. The tutorial emphasizes the importance of creating triangles, understanding complementary angles, and using alternate interior angles to solve for missing side lengths.

What is the first step in solving word problems using trigonometry and the law of sines?

• Guess the solution based on the problem statement.

• Use a calculator to find angles.

• Create triangles and understand the problem setup.

• Directly apply the law of sines.

In the first example, what is the bearing from Ranger Station A to the fire?

• 48 degrees west of north

• 65 degrees east of north

• 80 degrees west of north

• 36 degrees east of north

How do you determine the angle inside the triangle when given a bearing?

• Add the bearing to 90 degrees.

• Directly use the bearing as the angle.

• Use complementary angles to find the angle.

• Subtract the bearing from 90 degrees.

What is the distance from Ranger Station B to the fire in the first example?

• 10 miles

• 13 miles

• 15 miles

• 20 miles

In the second example, what is the bearing from Station A to Station B?

• 65 degrees

• 90 degrees

• 70 degrees

• 80 degrees

How do you find the missing angle in a triangle when two angles are known?

• Add the two angles and subtract from 180 degrees.

• Multiply the two angles.

• Add the two angles and subtract from 360 degrees.

• Divide the larger angle by the smaller angle.

What is the calculated distance from Station B to the fire in the second example?

• 50 kilometers

• 60 kilometers

• 42 kilometers

• 30 kilometers