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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

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 3E
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Can you please answer the attached question. Thanks. 

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
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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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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