3. A crane is being created by four steel members (bold) and a cable, as shown in the diagram below. It is known that AC=10 ft, AB=8 ft, m/A=40°, mZCBD = 65°, and m/D=45°. (a) Determine the length of support member BC to the nearest hundredth of a foot. 10 ft
3. A crane is being created by four steel members (bold) and a cable, as shown in the diagram below. It is known that AC=10 ft, AB=8 ft, m/A=40°, mZCBD = 65°, and m/D=45°. (a) Determine the length of support member BC to the nearest hundredth of a foot. 10 ft
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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Can you please answer the attached question. Thanks.
Transcribed Image Text:3. A crane is being created by four steel members (bold) and a cable, as shown in the diagram below. It is
known that AC=10 ft, AB = 8 ft, m<A = 40°, mZCBD = 65°, and m/D = 45°.
(a) Determine the length of support member BC to the
nearest hundredth of a foot.
(b) Determine the length of the cable CD to the nearest
hundredth of a foot.
D
45
65
B
10 ft
40
8 ft
A
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Follow-up Question
Wouldn't you need to take the square root of 41.433 feet to get the length of BC. I think it would be 6.44 ft. It does not make sense that teh length wooudl be 42.433, when other two sides are 10 ft and 8 ft. Please advise.
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