A camel takes N steps while walking directly between two towns located on the same longitude, and whose latitudes differ by 0 degrees. The camel takes S steps to cross a stadium. Express the Earth's circumference C (in units of stadia) in terms of N, 6, and S.
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- A team is exploring a tresure. They start at the entrance of a national park and makes the following straight line movements: 68 m, north, 50 m, 25° north of west (155° CCW) 34 m, west 42 m, 17° south of east (343° CCW) Determine their position relative to the entrance of the national park. Can this be explained with a lot of detail in irder to understand.A rocket is launched at ? = 0 seconds. Its height, in meters above sea-level, is given by the equationℎ = −4.9?2 + 325? + 227A. Find the time it takes the rocket to reach the maximum height? (Round answer to 2 decimal places.) B. What is the maximum height attained by the rocket? (Round to the nearest whole number)2.
- Langleyville (43 degrees S, 77.6 degrees w) and Cajun Country (25 degrees s, 77.5 degrees w) have almost the same longitude, which means that they are roughly due north-south of each other. Set up all the work to find the approximate distance in miles between the cities assuming the radius of the earth is 4000 miles.A plane is flying at a speed of 320 miles per hour on a bearing of N65°E. Its ground speed is 390 miles per hour and its true course, given by the direction angle of the ground speed vector, is 30°. Find the speed, in miles per hour, and the direction angle, in degrees, of the wind. The speed of the wind is miles per hour. (Do not round until the final answer. Then round to the nearest tenth as needed.)Hiker Harry walks 4 km east then 7 km 25o north of west. What is the magnitude and direction of Harry’s position after his hike as measured from his starting point? Give the angle measured relative to east. For example 90° means directly north.
- After enjoying a big sandwich at Katz's Delicatessen, you decide to walk back to your luxury suite at the Waldorf-Astoria Hotel. First, you perambulate 0.15 mi at a polar angle of 160 degrees 0.15 mi angle 160^ ) . Next, you skedaddle 1.60 mi at a polar angle of 55 degrees (1.60 mi angle55^ ) . You follow this with a 0.55 mi jaunt at a polar angle of 150 degrees (0.55 mi angle150^ ) Finally, you be-bop 0.82 mi at a polar angle of 60 degrees (0.82 mi angle 60^ ) . What is the overall displacement from your starting point at Katz's Delicatessen? Express your answer in polar notation.Suppose you walk 12.5 m in a direction exactly 19° south of west then you walk 20.5 m in a direction exactly 42° west of north. How far are you from your starting point, in meters? What is the angle of the compass direction of a line connecting your starting point to your final position measured North of West in degrees?In 1999, NASA lost the Mars Climate Orbiter because one group of engineers used metric units in their calculations while another group used English units. Consequently, the orbiter descended too far into the Martian atmosphere and burned up. Suppose that the orbiter was to have established orbit at 157 km and that one group of engineers specified this distance as 1.57 x 10³ m. Suppose further that a second group of engineers programmed the orbiter to go to 1.57 x 10³ ft. The $125 million Mars Climate Orbiter was lost in the Martian atmosphere in 1999 because two groups of engineers failed to communicate with each other about What was the difference in kilometers between the two altitudes? Express your answer with the appropriate units. Value Submit HA Provide Feedback Part B Complete previous part(s) Units Request Answer ?
- A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0° west of north from Atlanta. Figure P 3.22 shows the locations of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago.What acceleration must affect an object so that it can travel at 16.5 m/s in a circular path of circumference 61.5 m? (Units: ms2.) Please write only with 1 decimal place.An airplane flies 200 km due west from city A to city B and then 275 km in the direction of 28.0° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? 459.23 km is correct (b) Relative to city A, in what direction is city C?