https://file.aiquickdraw.com/mathbot/file/1727452755606ff02ode1.jpg

To work out the bearing of \( Y \) from \( W \), we need to understand how bearings are measured.

### Bearings:
Bearings are measured clockwise from the north direction, and always as a three-figure angle. 

### Step-by-Step Calculation:
1. The bearing of \( Y \) from \( W \) will start from the north line (labeled \( N \)) and proceed clockwise through the angles shown.
   
2. Starting from the north, we first pass through the 128° angle between the north and the line \( ZW \).

3. Next, we pass the 24° angle between \( ZW \) and \( YW \) (since \( YW \) is on the opposite side of \( ZW \)).

### Total Bearing Calculation:
To get the total bearing of \( Y \) from \( W \), we sum these two angles:
\[
\text{Bearing of } Y \text{ from } W = 128^\circ + 24^\circ = 152^\circ.
\]

Thus, the bearing of \( Y \) from \( W \) is **152°**.

Would you like more details or have any questions? Here are some related questions to explore further:

1. How are bearings used in navigation?
2. What is the difference between true north and magnetic north in bearings?
3. Can bearings be measured counterclockwise?
4. How can we calculate bearings between two points using coordinates?
5. What are the applications of bearings in real-life problems?

**Tip:** When working with bearings, always ensure you measure clockwise from north and express the angle using three digits.

Work out the bearing of Y from W using the provided diagram.

Learn how to calculate the bearing of Y from W by adding angles from a diagram. This problem covers key concepts in bearings and angle measurement, using step-by-step instructions. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation