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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.

 Feb 28, 2020
 #1
avatar+110100 
+1

Can you show us the working you have done yourself?

Maybe upload a photo of a sketch.

 Feb 28, 2020
 #2
avatar+284 
+1

are the ropes on the pole?

xxJenny1213xx  Feb 29, 2020
 #3
avatar+110100 
+1

This is how I interpreted the question.

 

 Feb 29, 2020
 #4
avatar+110100 
+1

If y9ou let the width of the entrance be   a+b   separated like this.

 

then it is quite easy to get 'b' in terms of 'a' using similar triangles.

After that it is easy to get a value of h.

 

See if you can do it now  indecision

 

Gentle hint: Next time say what you can or cannot do right at the start.  Talk about your question a little.

If you had stated that you had thought about it but you did not understand what the picture would look like in the beginning then I would not have wasted your time by asking you to present a picture.    :)

 Feb 29, 2020
 #5
avatar+284 
+1

I drew a picture, but do not know how to upload it... i got the answer of the point of the intersection: 3.75 ft and 1.25 ft of clearance... is that correct?

xxJenny1213xx  Feb 29, 2020
 #6
avatar+284 
+1

which means he can pass through.

xxJenny1213xx  Feb 29, 2020
 #7
avatar+110100 
+1

I have thrown out my working but 3.75' sounds very familiar.

The boat is 3.5' high 

 

so that leaves 0.25'

Melody  Mar 1, 2020
 #8
avatar+284 
+1

okay, ty!

cheekycheekycheeky

xxJenny1213xx  Mar 1, 2020

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