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--- **Question 12** (2 pts) Use similar triangles below to find the length \( x \) if \( b = 71 \), \( c = 13.4 \), and \( d = 9 \). Round your answer to one decimal place. **Diagram Explanation:** - The diagram shows two similar triangles. - The larger triangle has sides labeled \( x \), \( b \), and \( a \). - The smaller triangle has sides labeled \( c \), \( d \), and \( y \). - Both triangles share the same corresponding angles, indicated by matching angle marks. **Question 13** (2 pts) Find angle \( A \) in degrees in the right triangle below if \( a = 10.6 \) and \( c = 21 \). Round your answer to one decimal place. Ensure your answer is in degrees, not in radians. **Diagram Explanation:** - This is a right triangle. - The triangle includes sides labeled \( a \) and \( c \). - The angle opposite side \( a \) is labeled \( B \). - The right angle is opposite the hypotenuse. ---

--- **Question 12** (2 pts) Use similar triangles below to find the length \( x \) if \( b = 71 \), \( c = 13.4 \), and \( d = 9 \). Round your answer to one decimal place. **Diagram Explanation:** - The diagram shows two similar triangles. - The larger triangle has sides labeled \( x \), \( b \), and \( a \). - The smaller triangle has sides labeled \( c \), \( d \), and \( y \). - Both triangles share the same corresponding angles, indicated by matching angle marks. **Question 13** (2 pts) Find angle \( A \) in degrees in the right triangle below if \( a = 10.6 \) and \( c = 21 \). Round your answer to one decimal place. Ensure your answer is in degrees, not in radians. **Diagram Explanation:** - This is a right triangle. - The triangle includes sides labeled \( a \) and \( c \). - The angle opposite side \( a \) is labeled \( B \). - The right angle is opposite the hypotenuse. ---

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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--- **Question 12** (2 pts) Use similar triangles below to find the length \( x \) if \( b = 71 \), \( c = 13.4 \), and \( d = 9 \). Round your answer to one decimal place. **Diagram Explanation:** - The diagram shows two similar triangles. - The larger triangle has sides labeled \( x \), \( b \), and \( a \). - The smaller triangle has sides labeled \( c \), \( d \), and \( y \). - Both triangles share the same corresponding angles, indicated by matching angle marks. **Question 13** (2 pts) Find angle \( A \) in degrees in the right triangle below if \( a = 10.6 \) and \( c = 21 \). Round your answer to one decimal place. Ensure your answer is in degrees, not in radians. **Diagram Explanation:** - This is a right triangle. - The triangle includes sides labeled \( a \) and \( c \). - The angle opposite side \( a \) is labeled \( B \). - The right angle is opposite the hypotenuse. ---
Transcribed Image Text:--- **Question 12** (2 pts) Use similar triangles below to find the length \( x \) if \( b = 71 \), \( c = 13.4 \), and \( d = 9 \). Round your answer to one decimal place. **Diagram Explanation:** - The diagram shows two similar triangles. - The larger triangle has sides labeled \( x \), \( b \), and \( a \). - The smaller triangle has sides labeled \( c \), \( d \), and \( y \). - Both triangles share the same corresponding angles, indicated by matching angle marks. **Question 13** (2 pts) Find angle \( A \) in degrees in the right triangle below if \( a = 10.6 \) and \( c = 21 \). Round your answer to one decimal place. Ensure your answer is in degrees, not in radians. **Diagram Explanation:** - This is a right triangle. - The triangle includes sides labeled \( a \) and \( c \). - The angle opposite side \( a \) is labeled \( B \). - The right angle is opposite the hypotenuse. ---
Expert Solution
Step 1

Note that, in similar triangles the ratios of the lengths of the corresponding sides are equal.

Given that, b=71, c=13.4 and d=9.

Then, bd=cx. Obtain x as follows.

bd=cxx=cdbx=13.4×971x≈1.699x≈1.7

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