A surveyor wants to find the distance across a pond (see figure). The bearing from A to B is N 31° W. The surveyor walks x = 45 meters from A to C, and at the point C the bearing to B is N 69° W. Be (a) Find the bearing from A to C. ° E (b) Find the distance from A to B. (Round your answer to two decimal places.)
A surveyor wants to find the distance across a pond (see figure). The bearing from A to B is N 31° W. The surveyor walks x = 45 meters from A to C, and at the point C the bearing to B is N 69° W. Be (a) Find the bearing from A to C. ° E (b) Find the distance from A to B. (Round your answer to two decimal places.)
Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In the diagram:
- Point A is located at the bottom right.
- Point B is located at the top left.
- Point C is positioned to the bottom center.
- The bearing lines and angles are drawn from each point.
### Tasks:
**(a)** Find the bearing from point A to point C.
\[ \text{Bearing: N } \_\_^\circ \text{ E} \]
**(b)** Find the distance from point A to point B. (Round your answer to two decimal places.)
\[ \text{Distance: } \_\_.\_\_ \text{ meters} \]
### Diagram Explanation:
The illustration includes a compass rose indicating the cardinal directions (N, E, S, W) with associated bearings:
- From A to B: N 31° W.
- From C to B: N 69° W.
The surveyor measures a walking distance of 45 meters from point A to point C.
Please use this information to solve the above tasks related to bearings and distances across the pond.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fab864d-7419-4b8c-bc50-25971d273c3c%2F45a5f198-a6df-4ff0-98c9-370ef00aafc1%2Fm40wz5i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Determining Distances and Bearings Across a Pond
A surveyor wants to find the distance across a pond (see the figure below). The bearing from point A to point B is N 31° W. The surveyor walks \( x = 45 \) meters from A to C, and at point C the bearing to point B is N 69° W.
In the diagram:
- Point A is located at the bottom right.
- Point B is located at the top left.
- Point C is positioned to the bottom center.
- The bearing lines and angles are drawn from each point.
### Tasks:
**(a)** Find the bearing from point A to point C.
\[ \text{Bearing: N } \_\_^\circ \text{ E} \]
**(b)** Find the distance from point A to point B. (Round your answer to two decimal places.)
\[ \text{Distance: } \_\_.\_\_ \text{ meters} \]
### Diagram Explanation:
The illustration includes a compass rose indicating the cardinal directions (N, E, S, W) with associated bearings:
- From A to B: N 31° W.
- From C to B: N 69° W.
The surveyor measures a walking distance of 45 meters from point A to point C.
Please use this information to solve the above tasks related to bearings and distances across the pond.
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