Applications of Oblique Triangles and Directions

The video tutorial covers solving oblique triangles using the law of sines. It includes two examples: one involving ranger stations and a fire, and another calculating the height of a tree using angles of elevation. The tutorial also explains how to interpret and draw directions in word problems.

What is the primary mathematical tool used to solve oblique triangles in this lesson?

• Pythagorean Theorem

• Law of Sines

• Law of Cosines

• Trigonometric Identities

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

• 48 degrees west of North

• 32 degrees east of North

• 48 degrees east of North

• 32 degrees west of North

How do you calculate the interior angle when given a bearing angle?

• Add the bearing angle to 90 degrees

• Subtract the bearing angle from 90 degrees

• Multiply the bearing angle by 2

• Divide the bearing angle by 2

What is the distance from Ranger Station B to the fire?

• 10 miles

• 8.6 miles

• 7.5 miles

• 6.8 miles

Which direction is described as '25 degrees south of West'?

• 25 degrees east of South

• 25 degrees south of East

• 25 degrees north of West

• 25 degrees south of West

In the second example, what is the total distance between the two observers?

• 300 feet

• 500 feet

• 400 feet

• 200 feet

What is the angle of elevation from the first observer to the top of the tree?

• 10 degrees

• 15 degrees

• 25 degrees

• 20 degrees

How is the height of the tree calculated in the second example?

• Using the Law of Cosines

• Using the Pythagorean Theorem

• Using only basic trigonometry

• Using the Law of Sines and basic trigonometry

What is the calculated height of the tree in the second example?

• 50.5 feet

• 61.7 feet

• 67.1 feet

• 70.2 feet

What is the final step in solving the height of the tree problem?

• Using the Law of Cosines

• Using the Law of Sines

• Using basic trigonometry

• Using the Pythagorean Theorem