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A sail boat sails 2km east, then 5km 37 degrees south of east and finally an unknown displacement. If the final displacement of the boat from the starting point is 6km due east, determine the third displacement.

A sail boat sails 2km east, then 5km 37 degrees south of east and finally an unknown displacement. If the final displacement of the boat from the starting point is 6km due east, determine the third displacement.

Grade:11

4 Answers

Chetan Mandayam Nayakar
312 Points
12 years ago

21 +5(cos371 - sin37j) +(unknown displacement)=6i

Diptanil Das
33 Points
12 years ago

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Supriya Sinha
11 Points
7 years ago
R=xî+y jIn x direction2î+5cos37î+xî = 6î 2+4+x =6X=0î means no displacement in x direction In y direction5 sin37 j = y j Y=3j3 km in north
Vivek Kumar Upadhyay
30 Points
5 years ago
S1=2i, S2=5cos37i - 5sin37j , S3= unknown displacement. S=S1+S2+S3. S3=S-(S1+S2). S3=6i-(2i+5cos37i-5sin37j). S3=6i-2i-5*(4/5)i+5*(3/5)j. S3=4i-4i+3j. S3=3j. So, unknown displacement is 3km due north

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