Hard Boat Problem

onesun0000

Junior Member
Joined
Dec 18, 2018
Messages
83
I don't understand this problem. I tried my best to solve it. I guessed it's a trigonometry problem and can be solved using the Laws of Sines or Cosines. Your help is very much appreciated.

George was going fishing in his small fishing boat. As he left the boat ramp to motor out into the lake, he noticed that two ropes had been strung from poles on opposite sides of the entrance to the lake. The poles were 6 ft and 10 ft tall. The ropes went from the top of each pole to the bottom of the other pole. George quickly noticed that the highest point for getting under the ropes was where the two ropes crossed. If he kneeled down in the boat below the tallest part of the boat which is 3.5 ft high, will he make it underneath the ropes and be able to go fishing? How high is that point of intersection? There is no sagging in the ropes, and you do NOT need any other information to solve this problem. Show all your work and make sure to find the height of the point that the ropes intersect in ft. Draw a brief sketch, label the lengths, and describe in detail why you solved in the manner you solved.

Here's my attempt. I'm really sorry but the problem doesn't really make any sense that's why I just have this figure.

IMG20200229071920.jpg
 
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