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R 19.73 cm 157.84 cm 177.57 cm 9.15 cm 73.2 cm 82.35 cm 27.6° 27.6° J 17.48 cm K 27.6° 139.84 cm X 157.32 cm Y (a) For each triangle, find the ratio of the length of the side opposite 27.6° to the length of the hypotenuse. Round your answers to the nearest hundredth. KL QR YZ %3D JL PR XZ

R 19.73 cm 157.84 cm 177.57 cm 9.15 cm 73.2 cm 82.35 cm 27.6° 27.6° J 17.48 cm K 27.6° 139.84 cm X 157.32 cm Y (a) For each triangle, find the ratio of the length of the side opposite 27.6° to the length of the hypotenuse. Round your answers to the nearest hundredth. KL QR YZ %3D JL PR XZ

Trigonometry (11th Edition)
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 ZJ, Z P, and 2X are all approximately measured to be 27.6°. The side lengths for each triangle are as follows. Note that the triangles are not drawn to scale. R 19.73 cm 157.84 cm 177.57 cm 9.15 cm 73.2 cm 82.35 cm 27.6° 27.6° J 17.48 cm K 27.6° 139.84 cm X 157.32 cm Y (a) For each triangle, find the ratio of the length of the side opposite 27.6° to the length of the hypotenuse. Round your answers to the nearest hundredth. QR = 0 PR KL YZ JL XZ (b) Use the ALEKS Calculator to find sin 27.6°, cos 27.6°, and tan 27.6°. Round your answers to the nearest hundredth. sin 27.6° cos 27.6° = | tan 27.6° = | %3| (c) Which trigonometric function gives each ratio of sides in (a)? sine cosine tangent none of these
Transcribed Image Text:The three right triangles below are similar. The acute angles ZJ, Z P, and 2X are all approximately measured to be 27.6°. The side lengths for each triangle are as follows. Note that the triangles are not drawn to scale. R 19.73 cm 157.84 cm 177.57 cm 9.15 cm 73.2 cm 82.35 cm 27.6° 27.6° J 17.48 cm K 27.6° 139.84 cm X 157.32 cm Y (a) For each triangle, find the ratio of the length of the side opposite 27.6° to the length of the hypotenuse. Round your answers to the nearest hundredth. QR = 0 PR KL YZ JL XZ (b) Use the ALEKS Calculator to find sin 27.6°, cos 27.6°, and tan 27.6°. Round your answers to the nearest hundredth. sin 27.6° cos 27.6° = | tan 27.6° = | %3| (c) Which trigonometric function gives each ratio of sides in (a)? sine cosine tangent none of these
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