Trigonometry and Geometry Applications

This video tutorial explains the application of the law of sines through a problem involving a surveyor measuring distances across a canyon. The video guides viewers through setting up the problem, creating a sketch, calculating angles, and using the law of sines to find unknown distances. The tutorial concludes with the calculation of the distance across the canyon and a brief preview of the next video.

What is the initial bearing of the tree from the surveyor's first position?

• 65 degrees

• 180 degrees

• 85 degrees

• 115 degrees

How far does the surveyor walk to change the bearing of the tree?

• 500 meters

• 200 meters

• 400 meters

• 300 meters

What is the new bearing of the tree after the surveyor walks 300 meters?

• 95 degrees

• 65 degrees

• 115 degrees

• 85 degrees

What is the angle inside the red triangle that is supplementary to 115 degrees?

• 95 degrees

• 85 degrees

• 65 degrees

• 30 degrees

What is the sum of the angles in a triangle?

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

Using the Law of Sines, what is the approximate length of side x?

• 300 meters

• 542 meters

• 400 meters

• 598 meters

What trigonometric function is used to find the distance across the canyon?

• Secant

• Sine

• Tangent

• Cosine

What is the approximate distance across the canyon?

• 300 meters

• 542 meters

• 400 meters

• 598 meters

Which angle is used in the final calculation to find the distance across the canyon?

• 30 degrees

• 115 degrees

• 65 degrees

• 85 degrees

What is the purpose of the video series?

• To understand geometry basics

• To teach the Law of Cosines

• To explore applications of the Law of Sines

• To solve algebraic equations