The three right triangles below are similar. The acute angles D, H, and 2P are all approximately measured to be 31.2°. The side lengths for each triangle are as follows. Note that the triangles are not drawn to scale. R. F 19.93 m 79.72 m 159.44 m 10.32 m 41.28 m 82.56 m 31.2 31.20 D. 17.05 m E 31.20 H 68.2 m P 136.4 m (a) For each triangle, find the ratio of the length of the side opposite 31.2° to the length of the hypotenuse. Round your answers to the nearest hundredth. EF IJ OR DF HJ PR (b) Use the ALEKS Calculator to find sin31.2°, cos 31.2°, and tan 31.2°. Round your answers to the nearest hundredth. cos 31.2° = tan 31.2 = %3D sin 31.2° = (c) Which trigonometric function gives each ratio of sides in part (a)?
The three right triangles below are similar. The acute angles D, H, and 2P are all approximately measured to be 31.2°. The side lengths for each triangle are as follows. Note that the triangles are not drawn to scale. R. F 19.93 m 79.72 m 159.44 m 10.32 m 41.28 m 82.56 m 31.2 31.20 D. 17.05 m E 31.20 H 68.2 m P 136.4 m (a) For each triangle, find the ratio of the length of the side opposite 31.2° to the length of the hypotenuse. Round your answers to the nearest hundredth. EF IJ OR DF HJ PR (b) Use the ALEKS Calculator to find sin31.2°, cos 31.2°, and tan 31.2°. Round your answers to the nearest hundredth. cos 31.2° = tan 31.2 = %3D sin 31.2° = (c) Which trigonometric function gives each ratio of sides in part (a)?
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
![The three right triangles below are similar.
The acute angles 2D, 2H, and P are all approximately measured to be 31.2°,
The side lengths for each triangle are as follows.
Note that the triangles are not drawn to scale.
19.93 m
79.72 m
159.44 m
10.32 m
41.28 m
82.56 m
31.2
31.2°
D.
17.05 m E
31.20
H
68.2 m
I
136.4 m
(a) For each triangle, find the ratio of the length of the side opposite 31.2° to the length of the
hypotenuse. Round your answers to the nearest hundredth.
EF
IJ
QR
DF
HJ
PR
(b) Use the ALEKS Calculator to find sin31.2°, cos 31.2°, and tan 31.2°.
Round your answers to the nearest hundredth.
cos 31.2° =
tan 31.2° = 0
%3D
sin 31.2° =
(c) Which trigonometric function gives each ratio of sides in part (a)?
O sine](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42784953-9356-4ea6-972f-3331571db2e4%2Ffb216620-403d-4373-990b-7e509faab7fd%2Fpxvg2zd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The three right triangles below are similar.
The acute angles 2D, 2H, and P are all approximately measured to be 31.2°,
The side lengths for each triangle are as follows.
Note that the triangles are not drawn to scale.
19.93 m
79.72 m
159.44 m
10.32 m
41.28 m
82.56 m
31.2
31.2°
D.
17.05 m E
31.20
H
68.2 m
I
136.4 m
(a) For each triangle, find the ratio of the length of the side opposite 31.2° to the length of the
hypotenuse. Round your answers to the nearest hundredth.
EF
IJ
QR
DF
HJ
PR
(b) Use the ALEKS Calculator to find sin31.2°, cos 31.2°, and tan 31.2°.
Round your answers to the nearest hundredth.
cos 31.2° =
tan 31.2° = 0
%3D
sin 31.2° =
(c) Which trigonometric function gives each ratio of sides in part (a)?
O sine
![J
19.93 m
79.72 m
159.44 m
10.32 m
41.28 m
82.56 m
31.2°
31.2°
D
17.05 m
E
31,20
H
68.2 m
I
136.4 m
(a) For each triangle, find the ratio of the length of the side opposite 31.2° to the length of the
hypotenuse. Round your answers to the nearest hundredth.
EF
IJ
OR
DF
HJ
PR
(b) Use the ALEKS Calculator to find sin31.2°, cos 31.2°, and tan31.2°.
Round your answers to the nearest hundredth.
sin 31.2° =
cos 31.2° =
tan 31.2° = 0
(c) Which trigonometric function gives each ratio of sides in part (a)?
O sine
O cosine
O tangent
O none of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42784953-9356-4ea6-972f-3331571db2e4%2Ffb216620-403d-4373-990b-7e509faab7fd%2F57iag7c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:J
19.93 m
79.72 m
159.44 m
10.32 m
41.28 m
82.56 m
31.2°
31.2°
D
17.05 m
E
31,20
H
68.2 m
I
136.4 m
(a) For each triangle, find the ratio of the length of the side opposite 31.2° to the length of the
hypotenuse. Round your answers to the nearest hundredth.
EF
IJ
OR
DF
HJ
PR
(b) Use the ALEKS Calculator to find sin31.2°, cos 31.2°, and tan31.2°.
Round your answers to the nearest hundredth.
sin 31.2° =
cos 31.2° =
tan 31.2° = 0
(c) Which trigonometric function gives each ratio of sides in part (a)?
O sine
O cosine
O tangent
O none of these
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134217437/9780134217437_smallCoverImage.gif)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
![Algebra and Trigonometry](https://www.bartleby.com/isbn_cover_images/9781938168376/9781938168376_smallCoverImage.gif)
![Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134217437/9780134217437_smallCoverImage.gif)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
![Algebra and Trigonometry](https://www.bartleby.com/isbn_cover_images/9781938168376/9781938168376_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning