A treasure map directs you to start at a palm tree and walk due north for 12.0 m. You are then to turn 90° and walk 13.0 m; then turn 90° again and walk 5.00 m. For each of the four possible locations of the treasure, give the distance from the palm tree and the direction, expressed as an angle measured counterclockwise from north. List the possible locations in counterclockwise (CCW) order, starting with the one which is closest to due east.(adsbygoogle = window.adsbygoogle || []).push({});

14.76m and ° (location which is farthest east)

_____m and ° (next location in the CCW direction)

_____m and ° (next location in the CCW direction)

_____m and ° (next location in the CCW direction)

Hello, I am completely lost with this question, here is the steps I did to get the first answer, 14.76m with is correct.

I am supposed to walk north 12m, y = 12, then I turn 90 degrees and walk right for 13m x = 13 then I turn 90 degrees and walk back down 5m. So y = 12-5=7 because I walked up 12m and then back down 5 meters and x = 13.

Knowing this I can construct a triangle

x=13

_____

y=7 | /

| /

|_/

a^2+b^2=C^2

13^2+7^2 = 218

Square root of 218 is 14.764, so the answer to the first question is 14.764, but how do I figure out the degrees for it counterclockwise, and find the rest of the answers for the problem? I tried setting x negative since I could walk left, but that did not give me a correct answer for one of them, please help!

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# Homework Help: Hard Direction Question

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