Solve the right triangle shown in the figure. a = 29.9, c= 52.8 (Round to the nearest tenth as needed.) B (Round to the nearest tenth as needed.) b (Round to the nearest hundredth as needed.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Title: Solving a Right Triangle**

**Objective:**
Learn how to solve a right triangle using given side lengths and angles.

**Problem:**
Solve the right triangle shown in the figure.

**Given:**
- Side \( a = 29.9 \)
- Side \( c = 52.8 \)

**Diagram Description:**
The image displays a right triangle labeled as follows:
- \( \angle A \) is at the bottom-left corner.
- \( \angle B \) is the right angle at the top right.
- \( \angle C \) is at the bottom-right corner.
- Side \( a \) is opposite \( \angle A \).
- Side \( b \) is opposite \( \angle C \).
- Side \( c \) is the hypotenuse, opposite the right angle \( \angle B \).

**Solution Steps:**

1. **Calculate Angle A:**
   \[
   A \approx \text{__}^\circ 
   \]
   (Round to the nearest tenth as needed.)

2. **Calculate Angle C:**
   \[
   B \approx \text{__}^\circ 
   \]
   (Round to the nearest tenth as needed.)

3. **Calculate Side b:**
   \[
   b \approx \text{__}
   \]
   (Round to the nearest hundredth as needed.)
Transcribed Image Text:**Title: Solving a Right Triangle** **Objective:** Learn how to solve a right triangle using given side lengths and angles. **Problem:** Solve the right triangle shown in the figure. **Given:** - Side \( a = 29.9 \) - Side \( c = 52.8 \) **Diagram Description:** The image displays a right triangle labeled as follows: - \( \angle A \) is at the bottom-left corner. - \( \angle B \) is the right angle at the top right. - \( \angle C \) is at the bottom-right corner. - Side \( a \) is opposite \( \angle A \). - Side \( b \) is opposite \( \angle C \). - Side \( c \) is the hypotenuse, opposite the right angle \( \angle B \). **Solution Steps:** 1. **Calculate Angle A:** \[ A \approx \text{__}^\circ \] (Round to the nearest tenth as needed.) 2. **Calculate Angle C:** \[ B \approx \text{__}^\circ \] (Round to the nearest tenth as needed.) 3. **Calculate Side b:** \[ b \approx \text{__} \] (Round to the nearest hundredth as needed.)
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