or10 ports l Previous Answers SerCPS 3 P014 While exploring a cave, a spelunker
ID: 1873140 • Letter: O
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or10 ports l Previous Answers SerCPS 3 P014 While exploring a cave, a spelunker starts at the entrance and moves the following distances: 75.0 m north, 290 m east, 205 m at an angle 30.0° north of east, and 150 m south Find the resultant displacement from the cave entrance. Your response differs from the correct answer by more than 10%. Double check your calculations. m at L north of east Need Help? RdTatTer Subeit Answer Save Progress Practice Another Vers on My Notes Ask Your 4-10 points SerCPs 3P018 shows Pictsburgh to be 343 miles in a direction 239 north of east from Louisville, The same map shows that Detroit is 209 miles in a direction 499 west of north from the displacement from souisville to Detr gh. Assume a filat Earth, and use the given information to find 0Explanation / Answer
3)
3) Do an approximate sketch of the route.
Where the 205m leg diverts at 30degrees, form a right triangle by extending the 290m leg east to intersect the 150m leg.
You need to find the base and vertical distances of this triangle.
(cos 30 x 205) = 177.54m. base length, and (sin 30 x 205) = 102.5m height.
Add the 177.54m to the 290m leg, = total east displacement of 467.54m.
Subtract the 102.5m from the 150m. leg, = 47.5m.
Subtract the 47.5m from the 75m. leg, and the total north displacement is 27.5m.
Now, sketch a right triangle, its base 467.54m., and its height 27.5m. Find the length of the hypotenuse. Sqrt.(467.54^2 + 27.5^2) = 468.35m. displacement from the entrance.
Its direction is (27.5/467.54) = tan of angle, atn = 3.37 degrees, north of east.
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