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°.
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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
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
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
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