4. To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm long, if the measure of one of its angles is 53°?
4. To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm long, if the measure of one of its angles is 53°?
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°.
Related questions
Question
![**Question 4:**
To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm long, if the measure of one of its angles is 53°?
**Explanation:**
To find the area \( A \) of a parallelogram when you know the lengths of two adjacent sides \( a \) and \( b \), and the angle \( \theta \) between them, you can use the formula:
\[ A = a \times b \times \sin(\theta) \]
In this problem, the sides are \( a = 20.8 \, \text{cm} \) and \( b = 10.9 \, \text{cm} \), and \( \theta = 53^\circ \).
Calculate the area using the sine function for the given angle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e6f454-aef3-4078-bf5c-8f7a3cacb5c5%2F639aa7aa-ba49-4244-96c7-a910167ff6fb%2Fcswpt2t_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 4:**
To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm long, if the measure of one of its angles is 53°?
**Explanation:**
To find the area \( A \) of a parallelogram when you know the lengths of two adjacent sides \( a \) and \( b \), and the angle \( \theta \) between them, you can use the formula:
\[ A = a \times b \times \sin(\theta) \]
In this problem, the sides are \( a = 20.8 \, \text{cm} \) and \( b = 10.9 \, \text{cm} \), and \( \theta = 53^\circ \).
Calculate the area using the sine function for the given angle.
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