epage-PHYS-2OSxy%20SA-Homework No. 03 xeGal. e I www.webassign.net/webStudent/As
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epage-PHYS-2OSxy%20SA-Homework No. 03 xeGal. e I www.webassign.net/webStudent/Assignment-Responses/submitdep 1806579S !culator . Google Se × .2 points SeiPSES 3 P o58 A ferry transports tourists among three islands. tt Sails from the frt land to the secondleland rn an.r ie·dedenza. Pernat eat a three the third island in a direction 64.3 west of north. Finally, it returns to the first island, sailing in a direction 28.09 east of south (a) Calculate the distance between the second and third ialands (b) Calculate the distance between the first and third islands kom Need Hotp? meant I 94 PSED 3 P003 10. 44 points Previus An The instartaneous position of an ooject is specified oy ite positon vector eiding from a foad origin to the lecation of the otject modeled as a panes Suppse for ral mete, kis ria In teconds. , given by·i-3 j-.sk, where pasition vector is a funttion of timsExplanation / Answer
Let us take the three islands be A, B, and C.
Given: AB = 5.26 km.
We draw a horizontal from B. That forms a 37° angle with AB (alt. interior angles), and it forms an 25.5° angle with BC (complement of 64.5°). Therefore CBA = 37° + 25.5° = 62.5°
Draw a horizontal from C. That forms an 25.5° angle with BC (alt, interior angles), so BCA = 90° - 25.5° - 28° = 36.5°.
Draw a vertical from A. That forms a 28° angle with AC (alt. interior angles) and a 53° angle with AB (complement of 37°). Therefore CAB = 28° + 53° = 81°.
Note that ABC + BCA + CAB = 62.5° + 36.5° + 81° = 180°.
From the Law of Sines, BC/sin 81° = AC/sin 62.5° = 5.26/sin 36.5°
Therefore BC = 8.73 km and AC = 1.84 km. (Answer)
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