Asked by Anonymous
A boat drops an anchor to the bottom of a lake. The anchor rope makes a 15 degree angle with the boat. The anchor rope is 24 feet long. To the nearest foot how deep is the lake?
Would I use the cos function giving me 23 or the sin function giving me 6 but how would my set up be?
Would I use the cos function giving me 23 or the sin function giving me 6 but how would my set up be?
Answers
Answered by
Reiny
Depends on the interpretation of "makes a 15° angle with the boat".
If the rope makes a 15° angle with the water line, (parallel to the bottom of the boat) you would have:
depth/24 = cos 75° or depth/24 = sin 15° , both giving you
depth = 6.21
If the rope makes a 15° angle with the vertical , (the depth of the water line), then we have
depth/24 = cos15 or depth/24 = sin75
depth = 23.18
A better wording of the question would help.
If the rope makes a 15° angle with the water line, (parallel to the bottom of the boat) you would have:
depth/24 = cos 75° or depth/24 = sin 15° , both giving you
depth = 6.21
If the rope makes a 15° angle with the vertical , (the depth of the water line), then we have
depth/24 = cos15 or depth/24 = sin75
depth = 23.18
A better wording of the question would help.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.