The distance between the base of the string and the base of the mast of the sailboat is 6.24.
Here we have to find the distance from the base of the mast that should be attached to the end of the light string.
Data given:
length of the string = 20 foot
length of the mast of the sailboat = 19 foot
Distance between the base of the mast and the light string = [tex]\sqrt{20^{2} - 19^{2} }[/tex]
= [tex]\sqrt{400 - 361}[/tex]
= √39
= 6.245
Therefore the distance between the string and the mast is 6.24.
To know more about the distance refer to the link given below:
https://brainly.com/question/17273444
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