To measure the length d of a lake (see Fig. 7), a baseline AB is established and mea- sured to be 125 meters. Angles A and B are measured to be 41.6° and 124.3°, respec- tively. How long is the lake? Base line 125 meters 41.6° 124.3° sed d

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Chapter1: Functions And Models
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To measure the length \( d \) of a lake (see Fig. 7), a baseline \( AB \) is established and measured to be 125 meters. Angles \( A \) and \( B \) are measured to be 41.6° and 124.3°, respectively. How long is the lake?

**Diagram Explanation:**

The diagram shows a triangular field setup for measuring the length of the lake. The key elements are:

- **Baseline \( AB \):** This is a straight line with a known length of 125 meters.
- **Point \( C \):** The opposite point forming the triangle with the baseline.
- **Angles:** 
  - \( \angle CAB = 41.6^\circ \) at point \( A \).
  - \( \angle ABC = 124.3^\circ \) at point \( B \).
  
The unknown length \( d \) is the distance from point \( B \) to \( C \), representing the length of the lake. The diagram indicates a clear view across the lake to aid in measuring and calculating \( d \).
Transcribed Image Text:To measure the length \( d \) of a lake (see Fig. 7), a baseline \( AB \) is established and measured to be 125 meters. Angles \( A \) and \( B \) are measured to be 41.6° and 124.3°, respectively. How long is the lake? **Diagram Explanation:** The diagram shows a triangular field setup for measuring the length of the lake. The key elements are: - **Baseline \( AB \):** This is a straight line with a known length of 125 meters. - **Point \( C \):** The opposite point forming the triangle with the baseline. - **Angles:** - \( \angle CAB = 41.6^\circ \) at point \( A \). - \( \angle ABC = 124.3^\circ \) at point \( B \). The unknown length \( d \) is the distance from point \( B \) to \( C \), representing the length of the lake. The diagram indicates a clear view across the lake to aid in measuring and calculating \( d \).
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