Trigonometry and Navigation Concepts

The video tutorial explains how to use trigonometry to solve a navigation problem involving a ship that goes off course. It covers setting up the problem, understanding the deviation, and applying trigonometric functions and the Pythagorean Theorem to find the remaining distance to the destination.

What is the initial distance between point A and point B in the navigation problem?

• 15 kilometers

• 10 kilometers

• 20 kilometers

• 5 kilometers

What tool does the captain use to realize he is off course?

• Astrolabe

• Compass

• GPS

• Sextant

How many degrees off course does the captain find himself?

• 25 degrees

• 20 degrees

• 15 degrees

• 10 degrees

Which trigonometric function is used to find the adjacent side of the triangle?

• Secant

• Sine

• Tangent

• Cosine

What is the expression for the adjacent side using cosine?

• 5 sine of 15 degrees

• 5 cosine of 15 degrees

• 10 sine of 15 degrees

• 10 cosine of 15 degrees

Which trigonometric function is used to find the opposite side of the triangle?

• Tangent

• Sine

• Cotangent

• Cosine

What is the expression for the opposite side using sine?

• 5 cosine of 15 degrees

• 10 cosine of 15 degrees

• 5 sine of 15 degrees

• 10 sine of 15 degrees

What theorem is used to find the final distance the ship needs to travel?

• Triangle Inequality Theorem

• Pythagorean Theorem

• Law of Sines

• Law of Cosines

What is the simplified expression for the sum of sine squared and cosine squared of an angle?

• 1

• 2

• 3

• 0

What is the final step to find the distance the ship needs to travel?

• Multiply the sides

• Add the sides

• Take the square root

• Subtract the sides