Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
Bartleby Related Questions Icon

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.
expand button
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.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Trigonometry (11th Edition)
Trigonometry
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:PEARSON
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning
Text book image
Algebra and Trigonometry
Trigonometry
ISBN:9781938168376
Author:Jay Abramson
Publisher:OpenStax
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning