Required ihfor ation A dolphin wants to swim directly back to its home bay, which is 0.800 km due west. It can swim at a speed of 6.40 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction.

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Hi, can you help me with this practice question please. 

### Problem Description:

A dolphin wants to swim directly back to its home bay, which is located 0.800 km due west. The dolphin has the ability to swim at a speed of 6.40 m/s relative to the water. However, there is a uniform water current flowing with a speed of 2.83 m/s in the southeast direction.

### Question:
What direction should the dolphin head?  
Enter the angle in degrees where positive values indicate south of west and negative values indicate north of west. 

#### Detailed Information:
The problem involves calculating the angle at which the dolphin should swim to counteract the southeast-flowing current and reach its destination. The current impacts the dolphin's intended path, thus requiring a correction in the swimming direction to ensure it reaches directly west.
Transcribed Image Text:### Problem Description: A dolphin wants to swim directly back to its home bay, which is located 0.800 km due west. The dolphin has the ability to swim at a speed of 6.40 m/s relative to the water. However, there is a uniform water current flowing with a speed of 2.83 m/s in the southeast direction. ### Question: What direction should the dolphin head? Enter the angle in degrees where positive values indicate south of west and negative values indicate north of west. #### Detailed Information: The problem involves calculating the angle at which the dolphin should swim to counteract the southeast-flowing current and reach its destination. The current impacts the dolphin's intended path, thus requiring a correction in the swimming direction to ensure it reaches directly west.
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