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# Determining the distance

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Joe and Jill set sail from the same point, with Joe sailing in the direction of S4 degree east and Jill sailing in the direction S9 degree west. After 4 hr, Jill 2 mi due west of Joe. How far had Jill sailed?

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Joe and Jill set sail from the same point, with Joe sailing in the direction of S4 degree east and Jill sailing in the direction S9 degree west. After 4 hr, Jill 2 mi due west of Joe. How far had Jill sailed?

Jill moves in the direction OA. Angle SOA=9 degrees
Joe moves in the direction OB. Angle SOB=4 degrees
We have to calculate OA the distance Jill has sailed.

After 4 hrs Jill is 2 miles due West of Joe. This means that AB=2 miles and angle OSA=angle OSB= 90 degrees

OA Cos 9 degrees= OB cos 4 degrees= OS
OB= OA x ( Cos 9/ Cos 4)= 0.99 OA

AB= AS+ BS
AS= OA Sin 9 degrees
BS= OB Sin 4 degrees= (0.99 OA ) Sin 4 degrees
AB= 2 miles =OA Sin 9 degrees + 0.99 OA Sin 4 degrees= 0.2255 OA
OA= 2/0.0255=8.86 miles

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!