Navigational Bearings and Distance Calculations

Navigational Bearings and Distance Calculations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to determine the bearing of a lighthouse from a boat using a diagram. It covers the interpretation of bearings, the importance of diagrams, and the calculation of angles. The tutorial also demonstrates the application of the sine rule to find distances and concludes with final calculations and result verification.

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of using a diagram in navigation problems?

To make the problem look more complex

To visually represent the problem for better understanding

To confuse the solver

To avoid using mathematical formulas

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a bearing of 310 degrees from a boat indicate?

The boat is facing southeast

The boat is facing northwest

The boat is facing directly south

The boat is facing directly north

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After traveling 1200 meters due west, what is the new bearing of the lighthouse from the boat?

310 degrees

328 degrees

270 degrees

180 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the angle ABL calculated using the given bearings?

By dividing the bearings by two

By using the concept of right angles and subtracting from 360 degrees

By adding the bearings

By subtracting the smaller bearing from the larger one

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What rule is used to find the distance from the boat to the lighthouse?

Pythagorean theorem

Tangent rule

Cosine rule

Sine rule

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final calculation needed to determine the distance the boat needs to travel to be due south of the lighthouse?

Using the cosine of the angle

Using the sine rule again

Using the Pythagorean theorem

Using the tangent of the angle