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B. Solve. Two hikers start at the visitor center. The first hikes 4 miles due west, then turns 40° toward south and hikes 1.8 miles. The second hikes 4 miles due east, then turns 52° toward north and and hikes 1.8 miles. Which hiker is farther from camp? Explain how you know. miles 4miles

B. Solve. Two hikers start at the visitor center. The first hikes 4 miles due west, then turns 40° toward south and hikes 1.8 miles. The second hikes 4 miles due east, then turns 52° toward north and and hikes 1.8 miles. Which hiker is farther from camp? Explain how you know. miles 4miles

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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Kindly solve and prove Problem B just like in the sample problem. 

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B. Solve. Two hikers start at the visitor center. The first hikes 4 miles due west, then turns 40° toward south and hikes 1.8 miles. The second hikes 4 miles due east, then turns 52° toward north and and hikes 1.8 miles. Which hiker is farther from camp? Explain how you know. I miles 4 miles
Transcribed Image Text:B. Solve. Two hikers start at the visitor center. The first hikes 4 miles due west, then turns 40° toward south and hikes 1.8 miles. The second hikes 4 miles due east, then turns 52° toward north and and hikes 1.8 miles. Which hiker is farther from camp? Explain how you know. I miles 4 miles
BIKING: Two groups of bikers leave the same camp heading in opposite directions. Each group goes 2 miles, then changes direction and goes 1.2 miles. Group A starts due east and then turns 458 toward north as shown. Group B starts due west and then turns 308 toward south. Which group is farther from camp? Explain your reasoning. SAMPLE PROBLEM) Solution: Draw a diagram and mark the given measures. The distances biked and the distances back to camp form two triangles, with congruent 2-mile sides and congruent 1.2 mile sides. Add the third sides of the triangles to your diagram. Group A Next use 135 2mi 12m Group B 150 linear pairs to find and mark the included angles of 150° and 135°. Because 150°> 135°, Group B is farther from camp by the Hinge Theorem. Proving Write a 2-column proof. Given: KL NL Prove: KM > NM K. Statements Reasons 1. KL = NL 2. LM = LM 1. Given 2. Reflexive Property 3. Angle Addition Postulate 4. Comparison Property of Inequality 5. Hinge Theorem 3. mz KLM = m KLN + m< MLN 4. mz KLM > m- MLN 5. KM > NM
Transcribed Image Text:BIKING: Two groups of bikers leave the same camp heading in opposite directions. Each group goes 2 miles, then changes direction and goes 1.2 miles. Group A starts due east and then turns 458 toward north as shown. Group B starts due west and then turns 308 toward south. Which group is farther from camp? Explain your reasoning. SAMPLE PROBLEM) Solution: Draw a diagram and mark the given measures. The distances biked and the distances back to camp form two triangles, with congruent 2-mile sides and congruent 1.2 mile sides. Add the third sides of the triangles to your diagram. Group A Next use 135 2mi 12m Group B 150 linear pairs to find and mark the included angles of 150° and 135°. Because 150°> 135°, Group B is farther from camp by the Hinge Theorem. Proving Write a 2-column proof. Given: KL NL Prove: KM > NM K. Statements Reasons 1. KL = NL 2. LM = LM 1. Given 2. Reflexive Property 3. Angle Addition Postulate 4. Comparison Property of Inequality 5. Hinge Theorem 3. mz KLM = m KLN + m< MLN 4. mz KLM > m- MLN 5. KM > NM
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