Use the similar triangles below to determine how r2 relates to r1, Y1, and y2. y2 Y1 X1 X2 a) 22 = 11Y1/Y2 %3D b) x2 = 012/y1 c) 2 = Y1Y2/21 %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question 2
Use the similar triangles below to determine how x2 relates to r1, Y1,
and
Y2.
y2
y1
X1
X2
a) x2 = 21y1/Y2
b) x2 = 12/y1
%3D
c) 2 = V1Y2/x1
%3D
(Hint: Look at each triangle individually and determine which trigonometric function deals only with the
quantities in the problem. Which trigonometric function in the small triangle only has ri and y1? Which
trigonometric function in the large triangle only has r2 and y2? Note that this trigonometric function must
be the same for both triangles because both triangles share the same angle 0.)
Transcribed Image Text:Question 2 Use the similar triangles below to determine how x2 relates to r1, Y1, and Y2. y2 y1 X1 X2 a) x2 = 21y1/Y2 b) x2 = 12/y1 %3D c) 2 = V1Y2/x1 %3D (Hint: Look at each triangle individually and determine which trigonometric function deals only with the quantities in the problem. Which trigonometric function in the small triangle only has ri and y1? Which trigonometric function in the large triangle only has r2 and y2? Note that this trigonometric function must be the same for both triangles because both triangles share the same angle 0.)
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