Find the distance and bearing | Trigonometric Word Problem

The video tutorial explains how to solve a problem involving walking a path in two directions and calculating the direct distance back home using the Pythagorean theorem. It further explores how to determine the correct bearing to return home using trigonometric functions, specifically focusing on the tangent inverse function to find the angle and adjust it to get the correct bearing.

What is the first step in solving the problem of finding the distance back home?

• Determine the direction of travel.

• Estimate the time taken to walk.

• Use the Pythagorean theorem to find the direct distance.

• Calculate the total distance walked.

How do you calculate the direct distance using the Pythagorean theorem?

• Add the distances walked north and east.

• Multiply the distances walked north and east.

• Subtract the distance walked east from the distance walked north.

• Square the distances walked north and east, sum them, and take the square root.

Which trigonometric function is used to find the angle for bearing calculation?

• Secant

• Tangent

• Cosine

• Sine

What is the angle found using the tangent inverse function in this problem?

• 60 degrees

• 33.69 degrees

• 45 degrees

• 90 degrees

What is the complementary angle to 33.69 degrees used for bearing calculation?

• 180 degrees

• 33.69 degrees

• 90 degrees

• 56.31 degrees

What is the final bearing calculated using the alternative method?

• 180 degrees

• 236 degrees

• 90 degrees

• 270 degrees

Why is it important to choose the correct direction when calculating bearing?

• To avoid getting lost in the woods.

• To ensure the shortest path is taken.

• To calculate the exact distance walked.

• To determine the time taken to return.