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1. A mountain climbing expedition establishes a base camp and two intermediate camps, A
1. A mountain climbing expedition establishes a base camp and two intermediate camps, Aand B. Camp A is 11,200 m east of and 3,200 m above base camp. Camp B is 8,400 m
east of and 1,700 m higher than Camp A. Determine the displacement between base camp
and Camp B.
Final answer:To find the displacement between base camp and Camp B, add the horizontal and vertical distances separately and use the Pythagorean theorem to calculate the straight line distance, resulting in approximately 20,203 meters.Explanation:To determine the displacement between the base camp and Camp B, we need to analyze the vertical and horizontal components of the journey separately and then combine them using the Pythagorean theorem to find the resultant vector magnitude and direction.Step 1: Calculate the Total Horizontal and Vertical DistancesHorizontal Distance: Base Camp to Camp A = 11,200 m, Camp A to Camp B = 8,400 m. Total = 11,200 m + 8,400 m = 19,600 m.Vertical Distance: Base Camp to Camp A = 3,200 m, Camp A to Camp B = 1,700 m. Total = 3,200 m + 1,700 m = 4,900 m.Step 2: Determine the DisplacementDisplacement (D) can be found using the Pythagorean theorem where D = sqrt((horizontal distance)² + (vertical distance)²). Substituting the calculated values:D = sqrt((19,600 m)² + (4,900 m)²) = sqrt(384,160,000 m² + 24,010,000 m²) = sqrt(408,170,000 m²) = 20,203 m approximately.The displacement from the base camp to Camp B is approximately 20,203 meters. This represents the straight line distance between these two points, ignoring any paths taken....