28. In o parallelogram, tw0 ndjacent odos maet of an angle of 35 and are 3 and 8 ft in longth. What is the length of the shorter diagonal of the parallelegram?

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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28. In o
parallelogram, tw0 ndjacent odos maet of an angle of
35 and are 3 and 8 ft in longth. What is the length of the
shorter diagonal of the parallelegram?
Transcribed Image Text:28. In o parallelogram, tw0 ndjacent odos maet of an angle of 35 and are 3 and 8 ft in longth. What is the length of the shorter diagonal of the parallelegram?
Expert Solution
Step 1

Figure of parallelogram according to question for better understanding

Trigonometry homework question answer, step 1, image 1

Step 2

Using Law of cosines

c2=a2+b2-2abcos(C)

Trigonometry homework question answer, step 2, image 1

c2=(8)2+(3)2-2(8)(3)cos(35)c2=64+9-39.31929812587c2=33.680701874128c=5.8035077215532c5.8ft

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