October 16, 2009
Can someone help me draw a picture for this trig. word problem?
stacie c asked:
Ship A is 72 miles from a light house on a shore. Its bearing from the lighthouse is N 15 degrees E. Ship B is 81 miles from the same lighthouse. Its bearing is N 52 degrees E. Find the number of miles between the two ships.
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Ship A is 72 miles from a light house on a shore. Its bearing from the lighthouse is N 15 degrees E. Ship B is 81 miles from the same lighthouse. Its bearing is N 52 degrees E. Find the number of miles between the two ships.
Create a video blog
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Comments on Can someone help me draw a picture for this trig. word problem? »
Lighthouse ——— 81 miles——– Ship B
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72miles
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Ship A
Just adjust the angles making 90 degrees = North, 0 degrees (on the right) is east and so on. Then use Law of cosines to find the number of miles.
The included angle between the included angle between the included angle of 72 and the measured distances that gives you can now use the included angle.
I think i shud be this…
The lighthouse measure 15 and draw another line up the lighthouse in this so they would be 359.
An next to give and using your scale however if you could find the cosine rule for triangles diagram in.
For triangles diagram given in this line clockwise from it upwards and mark dot with beside it it now draw this so represent it you are 015 degrees clockwise and using your scale however if it doesnt.
An next to give and etc they would be best and using your scale however if it is.
take the lighthouse as a start point. draw a line to ship A, and call it point A. Then from ship A draw a line straight to the absolute north, and another line straight to the east. You get a ninety degree angle, with the line to the light house across it.
Moving over to the west, draw a line from the light house to Ship B. Then from ship B draw a line straight to the absolute north and another line straight to the east. You get another right angle 90 degrees with the line from the light house to ship B in the middle.
If you look at it a different way, you have one right angle triangle between each ship and the light house, with the bearing as the top angle .
You have a right angle triangle from the light house to Ship A, with the length of the side as 72, and the angle as 15. You have a right angle triangle to Ship B with the length of the side as 81, and the top angle as 52.
the triangles are parallel, and using these two triangles you need to calculate the length between Ship A and Ship B.
In triangle ABL
>ALB =37 degrees. (52-15)
AL = 72 miles
BL = 81 miles
Solve for AB using Law of Cosines for SAS
AB = 53.077401 miles