Could someone please help!?! difficult
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Could someone please help!?! difficult

[From: ] [author: ] [Date: 12-04-21] [Hit: ]
please help me!If you get decimals, if you could use them all so we I have an exact answer, that would be awesome.Thank you!after finding them ,......
A fishing boat leaves port with a compass bearing* of 80 degrees at 8 miles per hour for 5 hours, then turns to a bearing of 25 degrees at 12 miles per hour for 3 hours, and finally changes to a bearing of 330 degrees at 17 miles per hour for 2 hours. From this point, the boat heads directly back to port at 18 miles per hour.

Find the time it takes the boat to return to port: ______hours

Find the boat's bearing as it returns to port: ________degrees

*measured in degrees clockwise from N

If you know how to do this, please help me! If you get decimals, if you could use them all so we I have an exact answer, that would be awesome. Thank you!

-
assuming the port is far away from north or south pole

change the polar data in a Cartesian data first

x = R * cos a
y = R * sin a
for example first trip
X1 = 8*5 * cos 80
Y1 = 8*5 * sin 80
and
X2 = 12*3 * cos25
Y2 = 12*3 * sin25

after finding them , add them

X = X1 + X2 + X3 + ...
Y = y1 + y2 + y3 + ...

now change Cartesian data to polar data again

R = root( x² + y² )
and
alpha = arc tan ( Y/X)

time = R/18
1
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