Question
Asked Oct 15, 2019
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Two boats leave a port at the same time. One boat travels in a direction of N 70 degrees E at 12 mph and the other boat travels in a direction of S 50 degrees E at 8 mph. How far apart are the boats after 1 hour

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Expert Answer

Step 1

The two boats start at O. The first travels north east at angle 50degree for 1 hours at 22 mi/h to the point A. 

 

Similarly, the second travels south east at angle 70 degree for 1 hours at 26 mi/h to the point B

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NE 50 C W 70 SE

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Step 2

After one hour:

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ОА 3 22 ОВ - 26 ZAOB 180-50-70 60°

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Step 3

 

Now we have to find the distance from A to B.

&...

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(AB) (O4)+(OB)-2(04)(OB) cos /AOB 222 +26- 2( 22) ( 26) cos 60 1 484+676-1144 x 2 =1160-571 588 AB 588 AB 24.248 AB 24miles

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