A fisherman leaves his home port and heads in the direction N 70° W. He travels d = 25 mi and reaches Egg Island. The next day he sails N 10° E for d2 = 65 mi, reaching Forrest Island. Forrest Island d2 Egg 70° home port Island di (a) Find the distance between the fisherman's home port and Forrest Island. (Round your answer to two decimal places.) mi (b) Find the bearing from Forrest Island back to his home port. (Round your answer to one decimal place.) OF
A fisherman leaves his home port and heads in the direction N 70° W. He travels d = 25 mi and reaches Egg Island. The next day he sails N 10° E for d2 = 65 mi, reaching Forrest Island. Forrest Island d2 Egg 70° home port Island di (a) Find the distance between the fisherman's home port and Forrest Island. (Round your answer to two decimal places.) mi (b) Find the bearing from Forrest Island back to his home port. (Round your answer to one decimal place.) OF
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Chapter1: Functions And Models
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![**Transcription for Educational Website**
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**Problem Description:**
A fisherman leaves his home port and heads in the direction N 70° W. He travels \( d_1 = 25 \) mi and reaches Egg Island. The next day he sails N 10° E for \( d_2 = 65 \) mi, reaching Forrest Island.
**Diagram Explanation:**
The diagram represents the fisherman's journey across the sea. It depicts a triangular route with three key locations: Home Port, Egg Island, and Forrest Island. The angles and distances involved in the journey are labeled as follows:
- From Home Port to Egg Island:
- Direction: N 70° W
- Distance: \( d_1 = 25 \) mi
- From Egg Island to Forrest Island:
- Direction: N 10° E
- Distance: \( d_2 = 65 \) mi
The triangle formed by these paths also includes given internal angles:
- The angle between the path from the Home Port to Egg Island and the path from Egg Island to Forrest Island is 10°.
- The angle between the path from the Home Port and the horizontal (east direction) is 70°.
**Problem-Solving Questions:**
(a) Find the distance between the fisherman's home port and Forrest Island. (Round your answer to two decimal places.)
\[ \_\_\_\_ \text{ mi} \]
(b) Find the bearing from Forrest Island back to his home port. (Round your answer to one decimal place.)
\[ \_\_\_\_ \text{ S} \]
\[ \_\_\_\_ \text{ E} \]
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This exercise involves applying trigonometry and geometry principles to solve problems related to navigation and distance calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28be323d-6a2e-42d5-8616-9e2b9ad3b968%2F30dff25f-a2c7-412a-996e-d9366a727b4d%2Fyz2h0xn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Problem Description:**
A fisherman leaves his home port and heads in the direction N 70° W. He travels \( d_1 = 25 \) mi and reaches Egg Island. The next day he sails N 10° E for \( d_2 = 65 \) mi, reaching Forrest Island.
**Diagram Explanation:**
The diagram represents the fisherman's journey across the sea. It depicts a triangular route with three key locations: Home Port, Egg Island, and Forrest Island. The angles and distances involved in the journey are labeled as follows:
- From Home Port to Egg Island:
- Direction: N 70° W
- Distance: \( d_1 = 25 \) mi
- From Egg Island to Forrest Island:
- Direction: N 10° E
- Distance: \( d_2 = 65 \) mi
The triangle formed by these paths also includes given internal angles:
- The angle between the path from the Home Port to Egg Island and the path from Egg Island to Forrest Island is 10°.
- The angle between the path from the Home Port and the horizontal (east direction) is 70°.
**Problem-Solving Questions:**
(a) Find the distance between the fisherman's home port and Forrest Island. (Round your answer to two decimal places.)
\[ \_\_\_\_ \text{ mi} \]
(b) Find the bearing from Forrest Island back to his home port. (Round your answer to one decimal place.)
\[ \_\_\_\_ \text{ S} \]
\[ \_\_\_\_ \text{ E} \]
---
This exercise involves applying trigonometry and geometry principles to solve problems related to navigation and distance calculation.
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