Solve for the specified value of the following right triangle. Round your answer to the nearest hundredth. If B = 16.9° and c = 7.55 cm, find b. O O 1.29 cm 7.22 cm 2.29 cm 2.19 cm
Solve for the specified value of the following right triangle. Round your answer to the nearest hundredth. If B = 16.9° and c = 7.55 cm, find b. O O 1.29 cm 7.22 cm 2.29 cm 2.19 cm
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![**Educational Math Problem: Right Triangle Calculation**
**Problem Statement:**
Solve for the specified value of the following right triangle. Round your answer to the nearest hundredth. If \( B = 16.9^\circ \) and \( c = 7.55 \) cm, find \( b \).
**Options:**
- \( \quad \circ \quad 1.29 \) cm
- \( \quad \circ \quad 7.22 \) cm
- \( \quad \circ \quad 2.29 \) cm
- \( \quad \circ \quad 2.19 \) cm
**Explanation:**
In this problem, you need to find the length of side \( b \) in a right triangle given:
- Angle \( B = 16.9^\circ \)
- Hypotenuse \( c = 7.55 \) cm
Utilize trigonometric ratios to solve for side \( b \). Specifically, use the sine function in the context of this right triangle:
\[ \sin(B) = \frac{b}{c} \]
\[ b = c \cdot \sin(B) \]
1. First, calculate the sine of \( 16.9^\circ \).
2. Multiply the result by the hypotenuse \( 7.55 \) cm to find the length of side \( b \).
Make sure to round your final answer to the nearest hundredth to choose the correct option provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F846a5d83-ebd2-4e0d-9bf0-b0f470211899%2Ff15b4850-f1cf-4270-a7e3-deb694be2868%2F9s6nyfh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Math Problem: Right Triangle Calculation**
**Problem Statement:**
Solve for the specified value of the following right triangle. Round your answer to the nearest hundredth. If \( B = 16.9^\circ \) and \( c = 7.55 \) cm, find \( b \).
**Options:**
- \( \quad \circ \quad 1.29 \) cm
- \( \quad \circ \quad 7.22 \) cm
- \( \quad \circ \quad 2.29 \) cm
- \( \quad \circ \quad 2.19 \) cm
**Explanation:**
In this problem, you need to find the length of side \( b \) in a right triangle given:
- Angle \( B = 16.9^\circ \)
- Hypotenuse \( c = 7.55 \) cm
Utilize trigonometric ratios to solve for side \( b \). Specifically, use the sine function in the context of this right triangle:
\[ \sin(B) = \frac{b}{c} \]
\[ b = c \cdot \sin(B) \]
1. First, calculate the sine of \( 16.9^\circ \).
2. Multiply the result by the hypotenuse \( 7.55 \) cm to find the length of side \( b \).
Make sure to round your final answer to the nearest hundredth to choose the correct option provided.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning