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A boat drops an anchor to the bottom of a lame. The anchor is pulled back under the boat at an angle of 13 degrees with the boat. The lake is 25 ft deep. To the nearest hundredth of a foot, what is the length of the anchor rope?

 Jun 29, 2014

Best Answer 

 #1
avatar+130511 
+5

Well....here we have an angle, the adjacent side, and we're looking for the hypoteneuse (the rope length).

The thing that relates all of these is the cosine.   So we have......

cos(13) = 25/h      where h is the rope length.    Rearranging, we have

h = 25/cos(13) = about 25.66 ft.   (rounded to the nearest hundredth ft)

 

 Jun 29, 2014
 #1
avatar+130511 
+5
Best Answer

Well....here we have an angle, the adjacent side, and we're looking for the hypoteneuse (the rope length).

The thing that relates all of these is the cosine.   So we have......

cos(13) = 25/h      where h is the rope length.    Rearranging, we have

h = 25/cos(13) = about 25.66 ft.   (rounded to the nearest hundredth ft)

 

CPhill Jun 29, 2014

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