A Ship Sailing In River Jhelam Moves Towards East. If It Changes To North, Through What Angle Does It Turn?​

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Introduction

In this discussion, we will explore the concept of angles and turns in a geometric context. We will consider a ship sailing in River Jhelum, which flows through the Indian state of Jammu and Kashmir. The ship initially moves towards the east, and then it changes its direction to the north. Our objective is to determine the angle through which the ship turns.

Understanding the Problem

To solve this problem, we need to understand the concept of angles and turns. An angle is formed by two rays that share a common endpoint, called the vertex. The measure of an angle is typically denoted in degrees, with 360 degrees representing a full circle. A turn, on the other hand, refers to the change in direction of an object or a line.

Visualizing the Scenario

Let's visualize the scenario. Imagine a ship sailing in River Jhelum, which flows from the north to the south. The ship initially moves towards the east, which means it is sailing parallel to the riverbank. Now, let's assume that the ship changes its direction to the north. This means that the ship will start sailing perpendicular to the riverbank.

Calculating the Angle of Turn

To calculate the angle of turn, we need to consider the initial direction of the ship (east) and the final direction (north). We can use the concept of trigonometry to solve this problem. Specifically, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees.

Step 1: Draw a Diagram

Let's draw a diagram to represent the scenario. We can draw a triangle with the ship's initial direction (east) as one side, the riverbank as another side, and the ship's final direction (north) as the third side.

Step 2: Identify the Angles

In the diagram, we can identify the angles involved. Let's call the angle between the ship's initial direction and the riverbank as angle A, and the angle between the ship's final direction and the riverbank as angle B.

Step 3: Apply Trigonometry

We can use the concept of trigonometry to relate the angles A and B. Specifically, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees. We can write the equation:

A + B + 90° = 180°

Step 4: Simplify the Equation

We can simplify the equation by subtracting 90° from both sides:

A + B = 90°

Step 5: Calculate the Angle of Turn

Now, we can calculate the angle of turn by finding the difference between the initial direction (east) and the final direction (north). Since the ship turns from east to north, we can calculate the angle of turn as follows:

Angle of turn = 90° - A

Step 6: Find the Value of A

To find the value of A, we need to consider the geometry of the triangle. Since the ship's initial direction is parallel to the riverbank, we can conclude that angle A is equal to 90°.

Step 7: Calculate the Angle of Turn

Now, we can calculate the angle of turn by substituting the value of A into the equation:

Angle of turn = 90° - 90° Angle of turn = 0°

Conclusion

In this discussion, we explored the concept of angles and turns in a geometric context. We considered a ship sailing in River Jhelum, which flows through the Indian state of Jammu and Kashmir. The ship initially moves towards the east, and then it changes its direction to the north. We calculated the angle through which the ship turns by using the concept of trigonometry. Our final answer is that the ship turns through an angle of 0°.

Frequently Asked Questions

Q: What is the angle of turn if the ship changes its direction from east to south?

A: The angle of turn would be 180°, since the ship turns from east to south.

Q: What is the angle of turn if the ship changes its direction from north to east?

A: The angle of turn would be 90°, since the ship turns from north to east.

Q: Can we use the concept of trigonometry to solve this problem?

A: Yes, we can use the concept of trigonometry to solve this problem. Specifically, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees.

Q: What is the significance of the angle of turn in this problem?

A: The angle of turn is significant because it represents the change in direction of the ship. In this problem, the ship turns from east to north, which means it changes its direction by 90°.

References

Note: The references provided are for general information purposes only and are not specific to this problem.

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Introduction

In our previous discussion, we explored the concept of angles and turns in a geometric context. We considered a ship sailing in River Jhelum, which flows through the Indian state of Jammu and Kashmir. The ship initially moves towards the east, and then it changes its direction to the north. We calculated the angle through which the ship turns by using the concept of trigonometry. In this Q&A article, we will address some of the frequently asked questions related to this problem.

Q&A

Q: What is the angle of turn if the ship changes its direction from east to south?

A: The angle of turn would be 180°, since the ship turns from east to south.

Q: What is the angle of turn if the ship changes its direction from north to east?

A: The angle of turn would be 90°, since the ship turns from north to east.

Q: Can we use the concept of trigonometry to solve this problem?

A: Yes, we can use the concept of trigonometry to solve this problem. Specifically, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees.

Q: What is the significance of the angle of turn in this problem?

A: The angle of turn is significant because it represents the change in direction of the ship. In this problem, the ship turns from east to north, which means it changes its direction by 90°.

Q: How do we calculate the angle of turn if the ship changes its direction by a certain angle?

A: To calculate the angle of turn, we can use the concept of trigonometry. Specifically, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees. We can write the equation:

A + B + 90° = 180°

where A is the angle between the ship's initial direction and the riverbank, and B is the angle between the ship's final direction and the riverbank.

Q: What is the relationship between the angle of turn and the direction of the ship?

A: The angle of turn is directly related to the direction of the ship. If the ship turns from east to north, the angle of turn is 90°. If the ship turns from north to east, the angle of turn is also 90°.

Q: Can we use the concept of angles and turns to solve other problems?

A: Yes, we can use the concept of angles and turns to solve other problems. For example, we can use this concept to calculate the angle of turn if a car turns from one direction to another.

Q: What are some real-world applications of the concept of angles and turns?

A: The concept of angles and turns has many real-world applications. For example, it is used in navigation, architecture, and engineering.

Conclusion

In this Q&A article, we addressed some of the frequently asked questions related to the problem of a ship sailing in River Jhelum. We discussed the concept of angles and turns, and how it can be used to calculate the angle of turn if a ship changes its direction. We also explored some of the real-world applications of this concept.

Frequently Asked Questions (FAQs)

Q: What is the angle of turn if the ship changes its direction from east to west?

A: The angle of turn would be 180°, since the ship turns from east to west.

Q: What is the angle of turn if the ship changes its direction from north to south?

A: The angle of turn would be 180°, since the ship turns from north to south.

Q: Can we use the concept of angles and turns to solve problems involving circular motion?

A: Yes, we can use the concept of angles and turns to solve problems involving circular motion.

Q: What is the relationship between the angle of turn and the speed of the ship?

A: The angle of turn is not directly related to the speed of the ship. However, the speed of the ship can affect the time it takes to complete the turn.

References

Note: The references provided are for general information purposes only and are not specific to this problem.