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
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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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