A rectangular card is 10 cm wide. The card is folded so that the vertex D falls at point D' on segment AB as shown. Crease segment CE with length k makes an n° angle with segment CD. Prove: k = 10 Sin (2n)° cos nº D n° C k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 48E
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A rectangular card is 10 cm wide. The card is folded so that the vertex D falls at point
D' on segment AB as shown. Crease segment CE with length k makes an n° angle with
segment CD.
Prove:
k =
10
Sin (2n)° cos nº
E
D
no
C
k
Α
D'
B
Transcribed Image Text:A rectangular card is 10 cm wide. The card is folded so that the vertex D falls at point D' on segment AB as shown. Crease segment CE with length k makes an n° angle with segment CD. Prove: k = 10 Sin (2n)° cos nº E D no C k Α D' B
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