To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. C distance = 2.25 mi 45.1° NOTE: The triangle is NOT drawn to scale. mi Give your answer to 2 decimals places. 3.11 mi B A

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information.

The diagram includes a triangle \( \triangle ABC \), where:

- \( CA = 3.11 \) miles
- \( CB = 2.25 \) miles
- \( \angle ACB = 45.1^\circ \)

**NOTE:** The triangle is NOT drawn to scale.

The blue shape represents the lake, and the dotted red line inside the triangle from point A to point B indicates the direct distance across the lake that needs to be calculated.

There's a text box for entering the calculated distance, requiring an answer rounded to 2 decimal places.

\[ \text{distance} = \_\_\_\_\_\_\_ \text{ mi} \]

**Give your answer to 2 decimal places.**
Transcribed Image Text:To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. The diagram includes a triangle \( \triangle ABC \), where: - \( CA = 3.11 \) miles - \( CB = 2.25 \) miles - \( \angle ACB = 45.1^\circ \) **NOTE:** The triangle is NOT drawn to scale. The blue shape represents the lake, and the dotted red line inside the triangle from point A to point B indicates the direct distance across the lake that needs to be calculated. There's a text box for entering the calculated distance, requiring an answer rounded to 2 decimal places. \[ \text{distance} = \_\_\_\_\_\_\_ \text{ mi} \] **Give your answer to 2 decimal places.**
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