Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Question
Find x , I tried to find the adjacent side first but that didn't work. Thank u
The image displays a hand-drawn diagram involving two adjacent triangles. Here's a detailed explanation: ### Diagram Description: 1. **Triangles:** - Two right triangles are depicted, sharing a common hypotenuse. - The smaller triangle is nested within the larger triangle. 2. **Angles:** - The smaller triangle has an angle marked as \(55^\circ\). - The larger triangle has an angle marked as \(48^\circ\). 3. **Dimensions:** - The vertical leg of the larger triangle is labeled as \(9.7\) ft. - The vertical leg of the smaller triangle is labeled \(x\). 4. **Question:** - The diagram asks, "What is \(x\)?" This setup is often used to explore trigonometric relationships or to apply the law of sines or cosines for angle and side calculations in triangles.
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Transcribed Image Text:The image displays a hand-drawn diagram involving two adjacent triangles. Here's a detailed explanation: ### Diagram Description: 1. **Triangles:** - Two right triangles are depicted, sharing a common hypotenuse. - The smaller triangle is nested within the larger triangle. 2. **Angles:** - The smaller triangle has an angle marked as \(55^\circ\). - The larger triangle has an angle marked as \(48^\circ\). 3. **Dimensions:** - The vertical leg of the larger triangle is labeled as \(9.7\) ft. - The vertical leg of the smaller triangle is labeled \(x\). 4. **Question:** - The diagram asks, "What is \(x\)?" This setup is often used to explore trigonometric relationships or to apply the law of sines or cosines for angle and side calculations in triangles.
Expert Solution
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Step 1

consider the following image 

Trigonometry homework question answer, step 1, image 1

In the given consider ∠DCB=48°

and ∠ACB=55°

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