500 Find the length of the side opposite to the given angle. (Round your answer to two decimal places.) Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the other acute angle.

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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Solve the right triangle.

![Triangle Diagram](triangle_diagram.jpg)

In the right triangle diagram, one side is labeled as 500, and one angle is given as \( \frac{3\pi}{8} \).

1. **Find the length of the side opposite to the given angle.** (Round your answer to two decimal places.)

   [Text Box for Answer]

2. **Find the length of the side adjacent to the given angle.** (Round your answer to two decimal places.)

   [Text Box for Answer]

3. **Find the other acute angle.**

   [Text Box for Answer]

Note: The diagram clearly labels a right angle, indicating this is a right triangle. The measure \( \frac{3\pi}{8} \) is given in radians, and the hypotenuse is labeled as 500. There is a note in red indicating numbers "3" and "5," though their context is not specified.
Transcribed Image Text:Solve the right triangle. ![Triangle Diagram](triangle_diagram.jpg) In the right triangle diagram, one side is labeled as 500, and one angle is given as \( \frac{3\pi}{8} \). 1. **Find the length of the side opposite to the given angle.** (Round your answer to two decimal places.) [Text Box for Answer] 2. **Find the length of the side adjacent to the given angle.** (Round your answer to two decimal places.) [Text Box for Answer] 3. **Find the other acute angle.** [Text Box for Answer] Note: The diagram clearly labels a right angle, indicating this is a right triangle. The measure \( \frac{3\pi}{8} \) is given in radians, and the hypotenuse is labeled as 500. There is a note in red indicating numbers "3" and "5," though their context is not specified.
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